(dy)/(dx)=10+3y,y(0)=-3

Lösung

\frac{d y}{d x} = 10 + 3 y, y (0) = - 3

y = \frac{e ^{3 x}}{3} - \frac{10}{3}

Schritte zur Lösung

\frac{d y}{d x} = 10 + 3 y

Solve separable ODE:

y = \frac{e ^{3 x}}{3} - \frac{10}{3}

y = \frac{e ^{3 x}}{3} - \frac{10}{3}

y^{^{'}} = \frac{x ^{2} + 3}{4 y ^{3}}

x y^{^{'}} - y = x y

d y = (y^{2} - 4) d x

h^{^{'}} = \frac{2 h}{x ln ( x )}

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