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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+25y=2x*cos(5x)

y^{^{''}} + 25 y = 2 x \cdot cos (5 x)

y^{''''}+2y^{''}+y=cos(3x)+5

y^{^{''''}} + 2 y^{^{''}} + y = cos (3 x) + 5

y^{''}-y^'-2y=x,y(0)=1,y^'(0)=0

y^{^{''}} - y^{^{'}} - 2 y = x, y (0) = 1, y^{^{'}} (0) = 0

x^{''}-2x^'-3x=e^{4t}

x^{^{''}} - 2 x^{^{'}} - 3 x = e^{4 t}

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

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