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Beliebt Rechnen >

(d^3y)/(dx^3)+(dy)/(dx)=2x^2+4sin(x)

Lösung

\frac{d ^{3} y}{d x ^{3}} + \frac{d y}{d x} = 2 x^{2} + 4 sin (x)

Lösung

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + \frac{2 x ^{3}}{3} - 4 x - 2 x sin (x)

Schritte zur Lösung

\frac{d ^{3} y}{d x ^{3}} + \frac{d y}{d x} = 2 x^{2} + 4 sin (x)

Solve linear ODE:

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + \frac{2 x ^{3}}{3} - 4 x - 2 x sin (x)

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + \frac{2 x ^{3}}{3} - 4 x - 2 x sin (x)

Graph

Beliebte Beispiele

y^{''}+4y=t^2+4e^t,y(0)=0,y^'(0)=3

y^{^{''}} + 4 y = t^{2} + 4 e^{t}, y (0) = 0, y^{^{'}} (0) = 3

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

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

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

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

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

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

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

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