(y*e^{-x})(dy)/(dx)=x

Lösung

(y \cdot e^{- x}) \frac{d y}{d x} = x

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

Schritte zur Lösung

(y \cdot e^{- x}) \frac{d y}{d x} = x

Solve separable ODE:

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

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

\int_{0}^{π} 1 + cos (2 x) d x

\frac{\partial}{\partial x} (x + y^{2} + x y + 3)

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

tan (θ) d r + 2 r d θ = 0

d er i v a t i v e sin (x) ln (6 x)