Richtungsfeld
Question
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Exercise:
Ordne jedem der drei Richtungsfelder die dazu passe Differenzialgleichung zu. Die Gitternetzlinien haben einen Abstand von einer Einheit. medskip makeboxmmlDGL:hfill makeboxmmlDGL:hfill makeboxmmlDGL: medskip tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.---.-; drawultra thick-.---.-; drawultra thick-.---.-; drawultra thick-.--.; drawultra thick-.--.; drawultra thick-.--.; drawultra thick-.--.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; tikzpicture hfill tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.----.-; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-..---.-.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.----.-; drawultra thick-.-.---.-.; drawultra thick-..---.-.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.----.-; drawultra thick-..---.-.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.--.; drawultra thick-..--..; drawultra thick-..--..; drawultra thick-..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick.--.; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.--.; tikzpicture hfill tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; tikzpicture multicols enumerate itema y'x/y itemb y'y/x itemc y'-y/x itemd y'|x| iteme y'x^ itemf y'y^ itemg y'x+y itemh y'x-y itemi y'y-x enumerate multicols
Solution:
Links: d y'|x| hfill Mitte: h y'x-y hfill Rechts: c y'-y/x
Ordne jedem der drei Richtungsfelder die dazu passe Differenzialgleichung zu. Die Gitternetzlinien haben einen Abstand von einer Einheit. medskip makeboxmmlDGL:hfill makeboxmmlDGL:hfill makeboxmmlDGL: medskip tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.---.-; drawultra thick-.---.-; drawultra thick-.---.-; drawultra thick-.--.; drawultra thick-.--.; drawultra thick-.--.; drawultra thick-.--.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; tikzpicture hfill tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.----.-; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-..---.-.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.----.-; drawultra thick-.-.---.-.; drawultra thick-..---.-.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.----.-; drawultra thick-..---.-.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.--.; drawultra thick-..--..; drawultra thick-..--..; drawultra thick-..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick.--.; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.--.; tikzpicture hfill tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; tikzpicture multicols enumerate itema y'x/y itemb y'y/x itemc y'-y/x itemd y'|x| iteme y'x^ itemf y'y^ itemg y'x+y itemh y'x-y itemi y'y-x enumerate multicols
Solution:
Links: d y'|x| hfill Mitte: h y'x-y hfill Rechts: c y'-y/x