(dy)/(dx)=2x^4sqrt(y)

Lösung

\frac{d y}{d x} = 2 x^{4} y

y = \frac{x ^{10}}{25} + \frac{c _{1} x ^{5}}{5} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = 2 x^{4} y

Solve separable ODE:

y = \frac{x ^{10}}{25} + \frac{c _{1} x ^{5}}{5} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{10}}{25} + \frac{c _{1} x ^{5}}{5} + \frac{c _{1}^{2}}{4}

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

tan^{2} (y) sec^{2} (y) y^{^{'}} = x^{2}

\frac{d y}{d x} y = 2 x + 1

2 x y y^{^{'}} = 4 y^{2} + 3 y^{2}

2 x y + 6 x + (x^{2} - 9) \frac{d y}{d x} = 0