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Beliebt Rechnen >

y^'+y=x*e^{-x}+1

Lösung

y^{^{'}} + y = x \cdot e^{- x} + 1

Lösung

y = \frac{x ^{2}}{2 e ^{x}} + 1 + \frac{c _{1}}{e ^{x}}

Schritte zur Lösung

y^{'} (x) + y = x \cdot e^{- x} + 1

Solve linear ODE:

y = \frac{x ^{2}}{2 e ^{x}} + 1 + \frac{c _{1}}{e ^{x}}

y = \frac{x ^{2}}{2 e ^{x}} + 1 + \frac{c _{1}}{e ^{x}}

Graph

Beliebte Beispiele

tangent 2x^3+36x^2+210x+11

t an g e n t 2 x^{3} + 36 x^{2} + 210 x + 11

integral of ax^3

\int a x^{3} d x

integral from 3 to 4 of 1/(x^2-4)

\int_{3}^{4} \frac{1}{x ^{2} - 4} d x

derivative f(x)=5x^2-3x+7

d er i v a t i v e f (x) = 5 x^{2} - 3 x + 7

derivative e^{-5x^2}

d er i v a t i v e e^{- 5 x^{2}}