y^'=(1-2x)/y ,y(1)=-2

Lösung

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

y = - 2 x - 2 x^{2} + 4

Schritte zur Lösung

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

Solve separable ODE:

y = - 2 x - 2 x^{2} + 4

y = - 2 x - 2 x^{2} + 4

\frac{d y}{d x} = 3 x^{2} y, y (0) = 2

y^{^{'}} = 3 y

tan (x) sec (y) d x - tan (y) sec (x) d y = 0

y^{^{'}} = tan (y) tan (x)

y^{^{'}} = y - 2 y^{2}