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Beliebt Rechnen >

y^{''}+9y=sin(x)+cos(x)

Lösung

y^{^{''}} + 9 y = sin (x) + cos (x)

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{8} sin (x) + \frac{1}{8} cos (x)

Schritte zur Lösung

y^{''} (x) + 9 y = sin (x) + cos (x)

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{8} sin (x) + \frac{1}{8} cos (x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{8} sin (x) + \frac{1}{8} cos (x)

Graph

Beliebte Beispiele

y^{''}+2y^'+y=sec^2(x)

y^{^{''}} + 2 y^{^{'}} + y = sec^{2} (x)

3x^{''}+48x=153e^{-2t}cos(4t)

3 x^{^{''}} + 48 x = 153 e^{- 2 t} cos (4 t)

y^{''}-9y=4e^{3t},y(0)=0,y^'(0)=-1

y^{^{''}} - 9 y = 4 e^{3 t}, y (0) = 0, y^{^{'}} (0) = - 1

y^{''}-3y^'+2y=2cos^2(4x)

y^{^{''}} - 3 y^{^{'}} + 2 y = 2 cos^{2} (4 x)

y^{'''}+2y^{''}+y^'=2-24e^x+40e^{5x}

y^{^{'''}} + 2 y^{^{''}} + y^{^{'}} = 2 - 24 e^{x} + 40 e^{5 x}