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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + x^{2} - 8 x + 12

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + x^{2} - 8 x + 12

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + x^{2} - 8 x + 12

Graph

Beliebte Beispiele

y^{''}+16y=6sin(4t),y(0)=2,y^'(0)=0

y^{^{''}} + 16 y = 6 sin (4 t), y (0) = 2, y^{^{'}} (0) = 0

y^{''}-5y^'+6y=6x+2-3e^2

y^{^{''}} - 5 y^{^{'}} + 6 y = 6 x + 2 - 3 e^{2}

y^{''}+2y^'-3y=-20sin(x)

y^{^{''}} + 2 y^{^{'}} - 3 y = - 20 sin (x)

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

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

y^{''}-4y^'+4y=e^{2t}ln(t)

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{2 t} ln (t)