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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}+8y^'+16y=2sin(4x)

y^{^{''}} + 8 y^{^{'}} + 16 y = 2 sin (4 x)

y^{''}+4y^'+4= 1/(x^2e^{2x)}

y^{^{''}} + 4 y^{^{'}} + 4 = \frac{1}{x ^{2} e ^{2 x}}

y^{''}-y=4e^t-2e^{-t},y(0)=1,y^'(0)=4

y^{^{''}} - y = 4 e^{t} - 2 e^{- t}, y (0) = 1, y^{^{'}} (0) = 4

(D^{4} - 1) y = x