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Beliebt Rechnen >

y^{''}+4y=5sin(2x)-7cos(2x)

Lösung

y^{^{''}} + 4 y = 5 sin (2 x) - 7 cos (2 x)

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{7 x sin ( 2 x )}{4} - \frac{5 x cos ( 2 x )}{4}

Schritte zur Lösung

y^{''} (x) + 4 y = 5 sin (2 x) - 7 cos (2 x)

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{7 x sin ( 2 x )}{4} - \frac{5 x cos ( 2 x )}{4}

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{7 x sin ( 2 x )}{4} - \frac{5 x cos ( 2 x )}{4}

Graph

Beliebte Beispiele

y^{''}-4y^'=6e^{3x}-3e^{-x}

y^{^{''}} - 4 y^{^{'}} = 6 e^{3 x} - 3 e^{- x}

linear 2y^{''}+8y^'-y=16

l in e a r 2 y^{^{''}} + 8 y^{^{'}} - y = 16

y^{'''}+4y^'=tan(2x)

y^{^{'''}} + 4 y^{^{'}} = tan (2 x)

y^{''}+y^'=e^{5x}

y^{^{''}} + y^{^{'}} = e^{5 x}

y^{''}-16y^'+64y=6e^{8x}

y^{^{''}} - 16 y^{^{'}} + 64 y = 6 e^{8 x}