((d^2x)/(dx^2)+4(dy)/(dx)+20y)^2=0

Lösung

(\frac{d ^{2} x}{d x ^{2}} + 4 \frac{d y}{d x} + 20 y)^{2} = 0

y = e^{- 5 x + c_{1}}

Schritte zur Lösung

(\frac{d ^{2} x}{d x ^{2}} + 4 \frac{d y}{d x} + 20 y)^{2} = 0

Solve separable ODE:

y = e^{- 5 x + c_{1}}

y = e^{- 5 x + c_{1}}

\frac{d p}{d t} = 5 p - p^{2}

y^{^{'}} + 3 x y = 0

y^{^{'}} = - y + 2

y^{^{'}} = (x + 1) y

5 y^{4} \frac{d y}{d x} = 4 x