(dy)/(dx)-2xy=e^{x^2}

Lösung

\frac{d y}{d x} - 2 x y = e^{x^{2}}

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

Schritte zur Lösung

\frac{d y}{d x} - 2 x y = e^{x^{2}}

Solve linear ODE:

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

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

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

\int \frac{3 - 18 x}{64 - 9 x ^{2}} d x

\frac{d y}{d x} = \frac{b ^{2} x}{a ^{2} y}

\frac{\partial}{\partial x} (e^{2 x} + y ln (x))

2 y^{^{''}} + y^{^{'}} - 10 y = 0, y (1) = 5, y^{^{'}} (1) = 2