(dy)/(dx)=(x+5x^3)/(y^2)

Lösung

\frac{d y}{d x} = \frac{x + 5 x ^{3}}{y ^{2}}

y = 3 \frac{3 x ^{2}}{2} + \frac{15 x ^{4}}{4} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x + 5 x ^{3}}{y ^{2}}

Solve separable ODE:

y = 3 \frac{3 x ^{2}}{2} + \frac{15 x ^{4}}{4} + c_{1}

y = 3 \frac{3 x ^{2}}{2} + \frac{15 x ^{4}}{4} + c_{1}

y^{^{'}} = - 6 \cdot x \cdot y

y^{^{'}} = (y + 1) \cdot sin (x)

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

\frac{d y}{d x} = \frac{3 y}{x + 6}

y^{^{'}} [t] = 0.3 y [t]