(dy)/(dx)=y^2x+y^2cos(x)

Lösung

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

y = - \frac{2}{x ^{2} + 2 sin ( x ) + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{2}{x ^{2} + 2 sin ( x ) + c _{1}}

y = - \frac{2}{x ^{2} + 2 sin ( x ) + c _{1}}

y^{^{'}} = \frac{( 1 + x ^{2} )}{y}

\frac{d y}{d x} = \frac{x}{y ^{8}}

x d y - (y + 23) d x = 0

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

y^{^{'}} (x) = \frac{ln ( x )}{1 + y ^{2}}, y (1) = 0