(dy)/(dx)=3x^2y,y(0)=2

Lösung

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

y = 2 e^{x^{3}}

Schritte zur Lösung

\frac{d y}{d x} = 3 x^{2} y

Solve separable ODE:

y = 2 e^{x^{3}}

y = 2 e^{x^{3}}

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}

y^{^{'}} = 6 x y - 3 y