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Beliebt Rechnen >

y^'=-3y+e^{-2x}

Lösung

y^{^{'}} = - 3 y + e^{- 2 x}

Lösung

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

Schritte zur Lösung

y^{'} (x) = - 3 y + e^{- 2 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral from-1 to 1 of x^2+1

\int_{- 1}^{1} x^{2} + 1 d x

tangent f(x)=x^2-2,\at x=a

t an g e n t f (x) = x^{2} - 2, at x = a

integral of (x+1)/(x^2+7x+10)

\int \frac{x + 1}{x ^{2} + 7 x + 10} d x

integral of 12-8x+x^2

\int 12 - 8 x + x^{2} d x

(d^2S)/(dx^2)=S

\frac{d ^{2} S}{d x ^{2}} = S