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Beliebt Rechnen >

y^'=t^2y^3

Lösung

y^{^{'}} = t^{2} y^{3}

Lösung

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

Schritte zur Lösung

y^{'} (t) = t^{2} y^{3}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}-3y^{''}-9y^'+27y=0

y^{^{'''}} - 3 y^{^{''}} - 9 y^{^{'}} + 27 y = 0

(\partial)/(\partial x)(2xyz)

\frac{\partial}{\partial x} (2 x yz)

derivative 4x+1/x

d er i v a t i v e 4 x + \frac{1}{x}

integral of (6+6x)/(1+x^2)

\int \frac{6 + 6 x}{1 + x ^{2}} d x

derivative-(13)/(s^5)

d er i v a t i v e - \frac{13}{s ^{5}}