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Beliebt Rechnen >

y^{''}-2y^{''}-3y=9x+9

Lösung

y^{^{''}} - 2 y^{^{''}} - 3 y = 9 x + 9

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 3 x - 3

Schritte zur Lösung

y^{''} (x) - 2 y^{''} (x) - 3 y = 9 x + 9

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 3 x - 3

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 3 x - 3

Graph

Beliebte Beispiele

y^{'''}-9y^{''}+27y^'-27y=7e^{3x}

y^{^{'''}} - 9 y^{^{''}} + 27 y^{^{'}} - 27 y = 7 e^{3 x}

4y^{''}-8y^'+5y=e^ttan(t/2)

4 y^{^{''}} - 8 y^{^{'}} + 5 y = e^{t} tan (\frac{t}{2})

(D^2+1)y=3sin(2t)-2cos(2t)

(D^{2} + 1) y = 3 sin (2 t) - 2 cos (2 t)

y^{''}+y^'= 1/(cos(x))

y^{^{''}} + y^{^{'}} = \frac{1}{cos ( x )}

y^{'''}-4y^'=e^x+4x

y^{^{'''}} - 4 y^{^{'}} = e^{x} + 4 x