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

Lösung

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

y = e^{\frac{3 x ^{4}}{4} - x + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{3 x ^{4}}{4} - x + c_{1}}

y = e^{\frac{3 x ^{4}}{4} - x + c_{1}}

\frac{d y}{d x} + 6 e^{x + y} = 0

(x^{2} + 5) y^{^{'}} + x y - 6 x = 0

\frac{d y}{d x} y = e^{6 x} sin (x)

y^{^{'}} + cy = 0

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