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Beliebt Rechnen >

y^{''}-6y^'+10y=180sin(2x)

Lösung

y^{^{''}} - 6 y^{^{'}} + 10 y = 180 sin (2 x)

Lösung

y = e^{3 x} (c_{1} cos (x) + c_{2} sin (x)) + 6 sin (2 x) + 12 cos (2 x)

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) + 10 y = 180 sin (2 x)

Solve linear ODE:

y = e^{3 x} (c_{1} cos (x) + c_{2} sin (x)) + 6 sin (2 x) + 12 cos (2 x)

y = e^{3 x} (c_{1} cos (x) + c_{2} sin (x)) + 6 sin (2 x) + 12 cos (2 x)

Graph

Beliebte Beispiele

y^{'''}-y^'=e^t(1+t)

y^{^{'''}} - y^{^{'}} = e^{t} (1 + t)

(d^2-2d+5)y=e^{2x}*sin(x)

(d^{2} - 2 d + 5) y = e^{2 x} \cdot sin (x)

(d^2y)/(dx^2)-5(dy)/(dx)+6y=x^3+2x^2+5x+2

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = x^{3} + 2 x^{2} + 5 x + 2

y^{''}+9y=2x^2e^{3x}+5

y^{^{''}} + 9 y = 2 x^{2} e^{3 x} + 5

y^{''}-y^'-12y=-5e^{3x},y(0)=0,y^'(0)=0

y^{^{''}} - y^{^{'}} - 12 y = - 5 e^{3 x}, y (0) = 0, y^{^{'}} (0) = 0