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Beliebt Rechnen >

y^{''}+12y=8e^{4x}

Lösung

y^{^{''}} + 12 y = 8 e^{4 x}

Lösung

y = c_{1} cos (23 x) + c_{2} sin (23 x) + \frac{2}{7} e^{4 x}

Schritte zur Lösung

y^{''} (x) + 12 y = 8 e^{4 x}

Solve linear ODE:

y = c_{1} cos (23 x) + c_{2} sin (23 x) + \frac{2}{7} e^{4 x}

y = c_{1} cos (23 x) + c_{2} sin (23 x) + \frac{2}{7} e^{4 x}

Graph

Beliebte Beispiele

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

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

y^{''}+y=sqrt(2)sin(sqrt(2)x)

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

y^{'''}+49y^'=5x+6

y^{^{'''}} + 49 y^{^{'}} = 5 x + 6

y^{''}-6y^'+9y=x^{-4}*e^3x

y^{^{''}} - 6 y^{^{'}} + 9 y = x^{- 4} \cdot e^{3} x

3y^{''}+4y=3e^3x

3 y^{^{''}} + 4 y = 3 e^{3} x