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Beliebt Rechnen >

2y^'-y^2+4=0

Lösung

2 y^{^{'}} - y^{2} + 4 = 0

Lösung

y = \frac{2 e ^{2 t + 2 c_{1}}}{1 - e ^{2 (t + c_{1})}} + \frac{2}{1 - e ^{2 (t + c_{1})}}

Schritte zur Lösung

2 y^{'} (t) - y^{2} + 4 = 0

Solve separable ODE:

y = \frac{2 e ^{2 t + 2 c_{1}}}{1 - e ^{2 (t + c_{1})}} + \frac{2}{1 - e ^{2 (t + c_{1})}}

y = \frac{2 e ^{2 t + 2 c_{1}}}{1 - e ^{2 (t + c_{1})}} + \frac{2}{1 - e ^{2 (t + c_{1})}}

Graph

Beliebte Beispiele

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\int \frac{x ^{3}}{1 - 2 x ^{2}} d x

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d er i v a t i v e \frac{t}{( t - 3 ) ^{2}}