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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) - \frac{1}{10} sin (x) + \frac{1}{5} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) - \frac{1}{10} sin (x) + \frac{1}{5} cos (x)

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) - \frac{1}{10} sin (x) + \frac{1}{5} cos (x)

Graph

Beliebte Beispiele

y^{''}+3y=5t^4,y(0)=0,y^'(0)=0

y^{^{''}} + 3 y = 5 t^{4}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-10y^'+24=0

y^{^{''}} - 10 y^{^{'}} + 24 = 0

y^{'''}+3y^{''}-4=0

y^{^{'''}} + 3 y^{^{''}} - 4 = 0

2y^{''}+8y^'-y=8

2 y^{^{''}} + 8 y^{^{'}} - y = 8

(d^2y)/(dx^2)-5(dy)/(dx)+6y=pix^2+3

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = π x^{2} + 3