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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of 1+sin(2x)

\frac{d}{d x} (1 + sin (2 x))

integral of 7sin^2(x)

\int 7 sin^{2} (x) d x

derivative of x^{15x}

\frac{d}{d x} (x^{15 x})

integral of (6x)/((x-5)^2)

\int \frac{6 x}{( x - 5 ) ^{2}} d x

limit as x approaches 2 of sqrt(6x^2+1)

x \to 2 lim (6 x^{2} + 1)