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Beliebt Rechnen >

y^{''}+y=3sin(2t)+tcos(2t)

Lösung

y^{^{''}} + y = 3 sin (2 t) + t cos (2 t)

Lösung

y = c_{1} cos (t) + c_{2} sin (t) - \frac{t cos ( 2 t )}{3} - \frac{5}{9} sin (2 t)

Schritte zur Lösung

y^{''} (t) + y = 3 sin (2 t) + t cos (2 t)

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) - \frac{t cos ( 2 t )}{3} - \frac{5}{9} sin (2 t)

y = c_{1} cos (t) + c_{2} sin (t) - \frac{t cos ( 2 t )}{3} - \frac{5}{9} sin (2 t)

Graph

Beliebte Beispiele

limit as x approaches-1 of sqrt(1-x^2)

x \to - 1 lim (1 - x^{2})

derivative of (2x-1^3)

\frac{d}{d x} ((2 x - 1)^{3})

tangent f(x)= 1/(sqrt(5x)),\at x=9

t an g e n t f (x) = \frac{1}{5 x}, at x = 9

fläche (36)/(9+x^2),1

a re a \frac{36}{9 + x ^{2}}, 1

derivative of 3x-2y

\frac{d}{d x} (3 x - 2 y)