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Beliebt Rechnen >

y^{''}+7y+6y=e^{6x}

Lösung

y^{^{''}} + 7 y + 6 y = e^{6 x}

Lösung

y = c_{1} cos (13 x) + c_{2} sin (13 x) + \frac{1}{49} e^{6 x}

Schritte zur Lösung

y^{''} (x) + 7 y + 6 y = e^{6 x}

Solve linear ODE:

y = c_{1} cos (13 x) + c_{2} sin (13 x) + \frac{1}{49} e^{6 x}

y = c_{1} cos (13 x) + c_{2} sin (13 x) + \frac{1}{49} e^{6 x}

Graph

Beliebte Beispiele

9y^{''}-6y^'+y=8

9 y^{^{''}} - 6 y^{^{'}} + y = 8

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

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

linear y^{''}-2y^'+y=x^3+4x

l in e a r y^{^{''}} - 2 y^{^{'}} + y = x^{3} + 4 x

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

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

y^{''}+y=\H(t)-\H(t-pi/2)

y^{^{''}} + y = H (t) - H (t - \frac{π}{2})