(dy)/(dx)=30yx^2

Lösung

\frac{d y}{d x} = 30 y x^{2}

y = e^{10 x^{3} + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = 30 y x^{2}

Solve separable ODE:

y = e^{10 x^{3} + c_{1}}

y = e^{10 x^{3} + c_{1}}

y^{^{'}} - 6 x y = 6 x 3 y^{2}

y^{^{'}} + \frac{y}{2 x} = 0

\frac{d y}{d x} = \frac{y ^{\frac{1}{2}} ln ( x )}{x}, y (1) = 0

y d x - x d y = x (d y - y d x)

x^{2} y^{^{'}} - 2 - 3 y = 0