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Beliebt Rechnen >

y^{''}-4y^'+3y=13cos(2x)

Lösung

y^{^{''}} - 4 y^{^{'}} + 3 y = 13 cos (2 x)

Lösung

y = c_{1} e^{3 x} + c_{2} e^{x} - \frac{8}{5} sin (2 x) - \frac{1}{5} cos (2 x)

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 3 y = 13 cos (2 x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{x} - \frac{8}{5} sin (2 x) - \frac{1}{5} cos (2 x)

y = c_{1} e^{3 x} + c_{2} e^{x} - \frac{8}{5} sin (2 x) - \frac{1}{5} cos (2 x)

Graph

Beliebte Beispiele

y^{'''}-6y^{''}+12y^'-8y=te^3+1

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

y^{''}+y^'-2y=2(3x+1)e^x+20cos(2x)

y^{^{''}} + y^{^{'}} - 2 y = 2 (3 x + 1) e^{x} + 20 cos (2 x)

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

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

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)