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Beliebt Rechnen >

y^{''}+16y=-8sin(4x)+17e^x

Lösung

y^{^{''}} + 16 y = - 8 sin (4 x) + 17 e^{x}

Lösung

y = c_{1} cos (4 x) + c_{2} sin (4 x) + x cos (4 x) + e^{x}

Schritte zur Lösung

y^{''} (x) + 16 y = - 8 sin (4 x) + 17 e^{x}

Solve linear ODE:

y = c_{1} cos (4 x) + c_{2} sin (4 x) + x cos (4 x) + e^{x}

y = c_{1} cos (4 x) + c_{2} sin (4 x) + x cos (4 x) + e^{x}

Graph

Beliebte Beispiele

y^{''}+2y^'+17y=-44-85x

y^{^{''}} + 2 y^{^{'}} + 17 y = - 44 - 85 x

y^{''}+y=-2x-3sin(2x)

y^{^{''}} + y = - 2 x - 3 sin (2 x)

y^{''}-6y^'+9y=3e^{3x}+2sin(x)-cos(x)

y^{^{''}} - 6 y^{^{'}} + 9 y = 3 e^{3 x} + 2 sin (x) - cos (x)

2y^{''}+2y=-16cos(3x)

2 y^{^{''}} + 2 y = - 16 cos (3 x)

y^{'''}-y^{''}-y^'+y=3e^{-t}+2

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = 3 e^{- t} + 2