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Beliebt Rechnen >

y^{''''}+2y^{''}+y=3t+4

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = 3 t + 4

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 3 t + 4

Schritte zur Lösung

y^{(4)} (t) + 2 y^{''} (t) + y = 3 t + 4

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 3 t + 4

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 3 t + 4

Graph

Beliebte Beispiele

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

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

4y^{''}-4y^'+y=32e^{t/2}

4 y^{^{''}} - 4 y^{^{'}} + y = 32 e^{\frac{t}{2}}

y^{'''}+6y^{''}+9y^'=6x+2

y^{^{'''}} + 6 y^{^{''}} + 9 y^{^{'}} = 6 x + 2

y^{'''}-6y^{''}+12y^'-8y=t^3e^{2t}+1

y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = t^{3} e^{2 t} + 1

y^{''}+4y=e^{3x}+xsin(2x)

y^{^{''}} + 4 y = e^{3 x} + x sin (2 x)