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Beliebt Rechnen >

y^{''}-10y^'+16y=17sin(2x)

Lösung

y^{^{''}} - 10 y^{^{'}} + 16 y = 17 sin (2 x)

Lösung

y = c_{1} e^{8 x} + c_{2} e^{2 x} + \frac{3}{8} sin (2 x) + \frac{5}{8} cos (2 x)

Schritte zur Lösung

y^{''} (x) - 10 y^{'} (x) + 16 y = 17 sin (2 x)

Solve linear ODE:

y = c_{1} e^{8 x} + c_{2} e^{2 x} + \frac{3}{8} sin (2 x) + \frac{5}{8} cos (2 x)

y = c_{1} e^{8 x} + c_{2} e^{2 x} + \frac{3}{8} sin (2 x) + \frac{5}{8} cos (2 x)

Graph

Beliebte Beispiele

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

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

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}