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Beliebt Rechnen >

y^{''}-4y^'-4y=e^{2x}

Lösung

y^{^{''}} - 4 y^{^{'}} - 4 y = e^{2 x}

Lösung

y = c_{1} e^{2 (1 + 2) x} + c_{2} e^{2 (1 - 2) x} - \frac{1}{8} e^{2 x}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) - 4 y = e^{2 x}

Solve linear ODE:

y = c_{1} e^{2 (1 + 2) x} + c_{2} e^{2 (1 - 2) x} - \frac{1}{8} e^{2 x}

y = c_{1} e^{2 (1 + 2) x} + c_{2} e^{2 (1 - 2) x} - \frac{1}{8} e^{2 x}

Graph

Beliebte Beispiele

integral of (x^2)/((25+x^2)^2)

\int \frac{x ^{2}}{( 25 + x ^{2} ) ^{2}} d x

5sqrt(xy)(dy)/(dx)=1

5 x y \frac{d y}{d x} = 1

y^{''}-3y^'-12y=0

y^{^{''}} - 3 y^{^{'}} - 12 y = 0

inverselaplace (4e^{(-2s)})/((s^2-4s+3))

in v erse l a pl a ce \frac{4 e ^{(- 2 s)}}{( s ^{2} - 4 s + 3 )}

derivative of sqrt(x^2+2x-3)

\frac{d}{d x} (x^{2} + 2 x - 3)