(dy)/(dx)=-4x^3y

Lösung

\frac{d y}{d x} = - 4 x^{3} y

y = e^{- x^{4} + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = - 4 x^{3} y

Solve separable ODE:

y = e^{- x^{4} + c_{1}}

y = e^{- x^{4} + c_{1}}

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

4 y^{^{'}} - 2 e^{3 x} y = 0, y (0) = 6

cos^{2} (x) \frac{d y}{d x} = y + 3

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

y \frac{d y}{d x} = \frac{( x - e ^{x} )}{e ^{y^{2}}}