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Beliebt Rechnen >

y^{''}-2y^'-15y=e^{(3x)}cos(2x)

Lösung

y^{^{''}} - 2 y^{^{'}} - 15 y = e^{(3 x)} cos (2 x)

Lösung

y = c_{1} e^{5 x} + c_{2} e^{- 3 x} + \frac{1}{40} e^{3 x} sin (2 x) - \frac{1}{20} e^{3 x} cos (2 x)

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) - 15 y = e^{(3 x)} cos (2 x)

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{- 3 x} + \frac{1}{40} e^{3 x} sin (2 x) - \frac{1}{20} e^{3 x} cos (2 x)

y = c_{1} e^{5 x} + c_{2} e^{- 3 x} + \frac{1}{40} e^{3 x} sin (2 x) - \frac{1}{20} e^{3 x} cos (2 x)

Graph

Beliebte Beispiele

integral of ((1-sqrt(z)))/(zsqrt(z))

\int \frac{( 1 - z )}{z z} d z

derivative cos(pix)

d er i v a t i v e cos (π x)

limit as x approaches 8 of 88

x \to 8 lim (88)

derivative f(x)=2^{x^3}

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

y = x^{x} + 1