(dy)/(dx)+xy=2x

Lösung

\frac{d y}{d x} + x y = 2 x

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

Schritte zur Lösung

\frac{d y}{d x} + x y = 2 x

Solve separable ODE:

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

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

(y + x^{2} y e^{2 x}) d x - (x + x y) d y = 0

y^{^{'}} + y = y^{6}

y^{^{'}} = \frac{11 x ^{2} - 1}{11 + 9 y}

(x^{2} + 1) d x - 3 y d y = 0

e^{x + y} \frac{d x}{d y} = x