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Beliebt Rechnen >

y^{''}+25y=12cos(5x)+18sin(5x)

Lösung

y^{^{''}} + 25 y = 12 cos (5 x) + 18 sin (5 x)

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{6 x sin ( 5 x )}{5} - \frac{9 x cos ( 5 x )}{5}

Schritte zur Lösung

y^{''} (x) + 25 y = 12 cos (5 x) + 18 sin (5 x)

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{6 x sin ( 5 x )}{5} - \frac{9 x cos ( 5 x )}{5}

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{6 x sin ( 5 x )}{5} - \frac{9 x cos ( 5 x )}{5}

Graph

Beliebte Beispiele

y^{''}+8y^'+7y=16x^2

y^{^{''}} + 8 y^{^{'}} + 7 y = 16 x^{2}

y^{''}-6y^'+9y=xe^{3x}

y^{^{''}} - 6 y^{^{'}} + 9 y = x e^{3 x}

y^{''}+3y=-48x^2e^3x

y^{^{''}} + 3 y = - 48 x^{2} e^{3} x

y^{'''}-y^{''}-25y^'+25y=2-e^x+e^{5x}

y^{^{'''}} - y^{^{''}} - 25 y^{^{'}} + 25 y = 2 - e^{x} + e^{5 x}

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

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