(dy)/(dx)=y(5x^2+4)

Lösung

\frac{d y}{d x} = y (5 x^{2} + 4)

y = e^{\frac{5 x ^{3}}{3} + 4 x + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = y (5 x^{2} + 4)

Solve separable ODE:

y = e^{\frac{5 x ^{3}}{3} + 4 x + c_{1}}

y = e^{\frac{5 x ^{3}}{3} + 4 x + c_{1}}

\frac{d y}{d x} = y (5 x^{2} + 2)

\frac{d y}{d x} y = 3 x + 5

y^{^{'}} = - y^{2} sin (x)

x y^{2} + 1 + x^{2} y^{^{'}} = 0

2 x y^{^{'}} = y