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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

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

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

y^{''}-9y=(x^2-9)sin(3x)

y^{^{''}} - 9 y = (x^{2} - 9) sin (3 x)

y^{''}-36y=8,y(0)=1,y^'(0)=0

y^{^{''}} - 36 y = 8, y (0) = 1, y^{^{'}} (0) = 0

y^{'''}-36y^'=te^{-6t}+7cos(6t)

y^{^{'''}} - 36 y^{^{'}} = t e^{- 6 t} + 7 cos (6 t)