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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{''}} - 4 y = 1

y^{^{''}} - 4 y = 5

(d^2y)/(dx^2)-2(dy)/(dx)+y=x^2+1

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = x^{2} + 1

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

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

y^{''}+2y^'+5y=2cos(x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 2 cos (x)