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Beliebt Rechnen >

y^{''}+y-5=e^{2x}-3cos(3x)

Lösung

y^{^{''}} + y - 5 = e^{2 x} - 3 cos (3 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + y - 5 = e^{2 x} - 3 cos (3 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}-18y^{''}+864y=e^{12x}

y^{^{'''}} - 18 y^{^{''}} + 864 y = e^{12 x}

(D^{3} - D) y = x

y^{''}+y^'=16e^{3x}

y^{^{''}} + y^{^{'}} = 16 e^{3 x}

(d^2y)/(dx^2)+3(dy)/(dx)+2y= 1/(1+e^x)

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + 2 y = \frac{1}{1 + e ^{x}}

y^{''}-y^'+169y=13sin(13t)

y^{^{''}} - y^{^{'}} + 169 y = 13 sin (13 t)