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Beliebt Rechnen >

y^{'''}=3y^{''}+9(e^{9x})+9(cos(x))

Lösung

y^{^{'''}} = 3 y^{^{''}} + 9 (e^{9 x}) + 9 (cos (x))

Lösung

y = c_{1} e^{3 x} + c_{2} + c_{3} x + \frac{1}{54} e^{9 x} - \frac{9}{10} sin (x) + \frac{27}{10} cos (x)

Schritte zur Lösung

y^{'''} (x) = 3 y^{''} (x) + 9 (e^{9 x}) + 9 (cos (x))

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} + c_{3} x + \frac{1}{54} e^{9 x} - \frac{9}{10} sin (x) + \frac{27}{10} cos (x)

y = c_{1} e^{3 x} + c_{2} + c_{3} x + \frac{1}{54} e^{9 x} - \frac{9}{10} sin (x) + \frac{27}{10} cos (x)

Graph

Beliebte Beispiele

y^{''}-5y^'+6y=8e^{4x}

y^{^{''}} - 5 y^{^{'}} + 6 y = 8 e^{4 x}

D^2(D-1)y=8e^{(2x)}

D^{2} (D - 1) y = 8 e^{(2 x)}

y^{''}-4y^'+4y=6e^{2t}

y^{^{''}} - 4 y^{^{'}} + 4 y = 6 e^{2 t}

y^{''}+16y=13sec^2(4t)

y^{^{''}} + 16 y = 13 sec^{2} (4 t)

y^{''}+7y^'-y=16

y^{^{''}} + 7 y^{^{'}} - y = 16