(dy)/(dx)=(2x)(y)

Lösung

\frac{d y}{d x} = (2 x) (y)

y = e^{x^{2} + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = (2 x) (y)

Solve separable ODE:

y = e^{x^{2} + c_{1}}

y = e^{x^{2} + c_{1}}

y^{^{'}} = \frac{1}{2} y^{3}

y^{^{'}} \cdot tan (x) - y = - 2

\frac{d y}{d x} + 6 y = 1

y^{^{'}} = 2 x cos^{2} (y)

y^{^{'}} - 12 x y = 0