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Beliebt Rechnen >

y^{''''}+2y^{''}+y=(x-1)^2

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = (x - 1)^{2}

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + x^{2} - 2 x - 3

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + x^{2} - 2 x - 3

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + x^{2} - 2 x - 3

Graph

Beliebte Beispiele

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

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

y^{'''}-5y^{''}+6y^'=8+2sin(x)

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 8 + 2 sin (x)

(d^2y)/(dx^2)+(dy)/(dx)-2y=2x

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 2 y = 2 x

y^{''}-2y^'+y=(11e^t)/(1+t^2)

y^{^{''}} - 2 y^{^{'}} + y = \frac{11 e ^{t}}{1 + t ^{2}}

y^{'''}-4y^{''}+6y^'-4y=x+e^xcos(x)

y^{^{'''}} - 4 y^{^{''}} + 6 y^{^{'}} - 4 y = x + e^{x} cos (x)