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Beliebt Rechnen >

(d^2y)/(dx^2)-2(dy)/(dx)+y=4cos(x)

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} - 2 sin (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} - 2 sin (x)

y = c_{1} e^{x} + c_{2} x e^{x} - 2 sin (x)

Graph

Beliebte Beispiele

(d^3+d)y=6x(2x+1)

(d^{3} + d) y = 6 x (2 x + 1)

y^{^{''}} - 2 y^{^{'}} = - 2

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

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

y^{''}+9y=8x,y(0)=1,y^'(0)=3

y^{^{''}} + 9 y = 8 x, y (0) = 1, y^{^{'}} (0) = 3

y^{''}-8y^'+16y=20x+7

y^{^{''}} - 8 y^{^{'}} + 16 y = 20 x + 7