(dy)/(dx)=y^2xcos(x^2)

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

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

2 y^{^{'}} + y = 5, y (3) = 0

x y^{2} \frac{d y}{d x} = x + 6

\frac{d y}{d x} + 5 y = - 4

y^{^{'}} = \frac{- ( 3 y ^{2} + 1 ) x}{x ^{2} + 1}