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Beliebt Rechnen >

y^{''}-y^'+y=13sin(t)

Lösung

y^{^{''}} - y^{^{'}} + y = 13 sin (t)

Lösung

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 13 cos (t)

Schritte zur Lösung

y^{''} (t) - y^{'} (t) + y = 13 sin (t)

Solve linear ODE:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 13 cos (t)

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 13 cos (t)

Graph

Beliebte Beispiele

derivative of sin(2x^3-3)

\frac{d}{d x} (sin (2 x^{3} - 3))

derivative of e^{2x}e^{3x}e^{4x}

\frac{d}{d x} (e^{2 x} e^{3 x} e^{4 x})

f^'(x)=x-3+pix^2-sqrt(2)

f^{^{'}} (x) = x - 3 + π x^{2} - 2

limit as x approaches 1 of 5x^2+2

x \to 1 lim (5 x^{2} + 2)

x^2y^'+xy=1,y(1)=2

x^{2} y^{^{'}} + x y = 1, y (1) = 2