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Beliebt Rechnen >

y^{''}+8y=16sin(x)

Lösung

y^{^{''}} + 8 y = 16 sin (x)

Lösung

y = c_{1} cos (2^{1 + \frac{1}{2}} x) + c_{2} sin (2^{1 + \frac{1}{2}} x) + \frac{16}{7} sin (x)

Schritte zur Lösung

y^{''} (x) + 8 y = 16 sin (x)

Solve linear ODE:

y = c_{1} cos (2^{1 + \frac{1}{2}} x) + c_{2} sin (2^{1 + \frac{1}{2}} x) + \frac{16}{7} sin (x)

y = c_{1} cos (2^{1 + \frac{1}{2}} x) + c_{2} sin (2^{1 + \frac{1}{2}} x) + \frac{16}{7} sin (x)

Graph

Beliebte Beispiele

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

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

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

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

y^{''}+4y^'+8y=sin(x)

y^{^{''}} + 4 y^{^{'}} + 8 y = sin (x)

y^{''}+2y^'+5y=12cos(2x)+3sin(2x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 12 cos (2 x) + 3 sin (2 x)

y^{''}+4y=2x,y(0)=1,y^'(0)=2

y^{^{''}} + 4 y = 2 x, y (0) = 1, y^{^{'}} (0) = 2