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Beliebt Rechnen >

(t^2+x^2)dt+(2tx-x)dx=0

Lösung

(t^{2} + x^{2}) d t + (2 t x - x) d x = 0

Lösung

x = - \frac{2 t ^{3}}{3 ( 2 t - 1 )} + \frac{c _{1}}{2 t - 1}, x = - - \frac{2 t ^{3}}{3 ( 2 t - 1 )} + \frac{c _{1}}{2 t - 1}

Schritte zur Lösung

(t^{2} + x^{2}) d t + (2 t x - x) d x = 0

Solve Bernoulli ODE:

x = - \frac{2 t ^{3}}{3 ( 2 t - 1 )} + \frac{c _{1}}{2 t - 1}, x = - - \frac{2 t ^{3}}{3 ( 2 t - 1 )} + \frac{c _{1}}{2 t - 1}

x = - \frac{2 t ^{3}}{3 ( 2 t - 1 )} + \frac{c _{1}}{2 t - 1}, x = - - \frac{2 t ^{3}}{3 ( 2 t - 1 )} + \frac{c _{1}}{2 t - 1}

Graph

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