y^'=(xysin(x))/(y+1),y(0)=1

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

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

u^{^{'}} = 3 e^{8 x - H (x)}

y^{^{'}} = \frac{( 3 x ^{2} + 4 x - 4 )}{2 y - 4}, y (1) = 3

x y d y = (1 + y^{2}) d x, y (2) = 3

y - 3 y^{^{'}} = 1