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Beliebt Rechnen >

xy^'+2y=2ex

Lösung

x y^{^{'}} + 2 y = 2 e x

Lösung

y = \frac{2 e x}{3} + \frac{c _{1}}{x ^{2}}

Schritte zur Lösung

x y^{'} (x) + 2 y = 2 e x

Solve linear ODE:

y = \frac{2 e x}{3} + \frac{c _{1}}{x ^{2}}

y = \frac{2 e x}{3} + \frac{c _{1}}{x ^{2}}

Graph

Beliebte Beispiele

derivative of sec^2(3x)

\frac{d}{d x} (sec^{2} (3 x))

y^{''}-2*y^'=sin(x)

y^{^{''}} - 2 \cdot y^{^{'}} = sin (x)

integral from 0 to 24 of sqrt(9+3x)

\int_{0}^{24} 9 + 3 x d x

(d^2)/(dx^2)((x^2+6)^9)

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 6)^{9})

derivative of (x-1^n)

\frac{d}{d x} ((x - 1)^{n})