(dy)/(dx)+4xy=4*e^6x

Lösung

\frac{d y}{d x} + 4 x y = 4 \cdot e^{6} x

y = e^{- 2 x^{2} + c_{1}} + e^{6}

Schritte zur Lösung

\frac{d y}{d x} + 4 x y = 4 \cdot e^{6} x

Solve separable ODE:

y = e^{- 2 x^{2} + c_{1}} + e^{6}

y = e^{- 2 x^{2} + c_{1}} + e^{6}

3 y^{2} y^{^{'}} = 1 + y^{3}

x^{^{'}} - \frac{2}{t ^{2}} x = \frac{1}{t ^{2}}

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

2 y^{^{'}} - 0.8 y = 100

y^{^{'}} = - 2 \cdot t \cdot y^{2}