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Beliebt Rechnen >

y^{''}+25y=10cos(5x)+15sin(5x)

Lösung

y^{^{''}} + 25 y = 10 cos (5 x) + 15 sin (5 x)

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x) + x sin (5 x) - \frac{3 x cos ( 5 x )}{2}

Schritte zur Lösung

y^{''} (x) + 25 y = 10 cos (5 x) + 15 sin (5 x)

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) + x sin (5 x) - \frac{3 x cos ( 5 x )}{2}

y = c_{1} cos (5 x) + c_{2} sin (5 x) + x sin (5 x) - \frac{3 x cos ( 5 x )}{2}

Graph

Beliebte Beispiele

y^{''}-7y^'+12y=x^2e^x

y^{^{''}} - 7 y^{^{'}} + 12 y = x^{2} e^{x}

y^{''}-y^'-20y=72e^{2t}

y^{^{''}} - y^{^{'}} - 20 y = 72 e^{2 t}

y^{''}-y=t,y(0)=1,y^'(0)=1

y^{^{''}} - y = t, y (0) = 1, y^{^{'}} (0) = 1

y^{^{''}} - 2 y + 5 = 0

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

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