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Beliebt Rechnen >

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

Lösung

y^{^{''}} + y = 4 \cdot cos (x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + 2 x sin (x)

Schritte zur Lösung

y^{''} (x) + y = 4 \cdot cos (x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + 2 x sin (x)

y = c_{1} cos (x) + c_{2} sin (x) + 2 x sin (x)

Graph

Beliebte Beispiele

y^{''''}-y=8t+cos(t)

y^{^{''''}} - y = 8 t + cos (t)

y^{''}+2y^'=x^2

y^{^{''}} + 2 y^{^{'}} = x^{2}

y^{''}-4y^'+5y=e^{-3t},y(0)=1,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} + 5 y = e^{- 3 t}, y (0) = 1, y^{^{'}} (0) = 0

(d^2y)/(dx^2)+100y=csc(10x)

\frac{d ^{2} y}{d x ^{2}} + 100 y = csc (10 x)

y^{''}+y^'+y=x^4+4x^3+12x^2

y^{^{''}} + y^{^{'}} + y = x^{4} + 4 x^{3} + 12 x^{2}