(dy)/(dx)=3x^5sqrt(y)

Lösung

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

y = \frac{x ^{12}}{16} + \frac{c _{1} x ^{6}}{4} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{x ^{12}}{16} + \frac{c _{1} x ^{6}}{4} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{12}}{16} + \frac{c _{1} x ^{6}}{4} + \frac{c _{1}^{2}}{4}

\frac{d y}{d x} = - \frac{3}{4} x^{7} y^{8}

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

y^{^{'}} = 5 y^{- 4}, y (2) = 5

- y^{^{'}} + y = 10

\frac{d y}{d x} = - \frac{3}{9} x^{5} y^{8}