y^'=(xsin(x))/y ,y(0)=-1

Lösung

y^{^{'}} = \frac{x sin ( x )}{y}, y (0) = - 1

y = - - 2 x cos (x) + 2 sin (x) + 1

Schritte zur Lösung

y^{'} (x) = \frac{x sin ( x )}{y}

Solve separable ODE:

y = - - 2 x cos (x) + 2 sin (x) + 1

y = - - 2 x cos (x) + 2 sin (x) + 1

4 x y^{2} + (x^{2} + 1) y^{^{'}} = 0

d x = (8 x y + 3 y) d y

\frac{d y}{d x} = \frac{y + 1}{x}, y (1) = 2

3 x d y = 5 y d x

\frac{d y}{d x} = 30 y x^{2}