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Beliebt Rechnen >

y^{''}-2y^'-3y=4ex-3

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = 4 e x - 3

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{4 e x}{3} + \frac{8 e + 9}{9}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{4 e x}{3} + \frac{8 e + 9}{9}

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{4 e x}{3} + \frac{8 e + 9}{9}

Graph

Beliebte Beispiele

y^{''}+k^2y=e^{2t},y(0)=0,y^'(0)=0

y^{^{''}} + k^{2} y = e^{2 t}, y (0) = 0, y^{^{'}} (0) = 0

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

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

y^{''}+2y^'-3y=-9cos(2x)-33sin(2x)

y^{^{''}} + 2 y^{^{'}} - 3 y = - 9 cos (2 x) - 33 sin (2 x)

y^{''}-8y^'+16y=12x+6

y^{^{''}} - 8 y^{^{'}} + 16 y = 12 x + 6

(d^2+4)y=cos(2x)+cos(4x)

(d^{2} + 4) y = cos (2 x) + cos (4 x)