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Beliebt Rechnen >

y^{''}+y^'+3y=0,y(0)=1,y^'(0)=2

Lösung

y^{^{''}} + y^{^{'}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = 2

Lösung

y = e^{- \frac{t}{2}} (cos (\frac{11 t}{2}) + \frac{5}{11} sin (\frac{11 t}{2}))

Schritte zur Lösung

y^{''} (t) + y^{'} (t) + 3 y = 0

Solve linear ODE:

y = e^{- \frac{t}{2}} (cos (\frac{11 t}{2}) + \frac{5}{11} sin (\frac{11 t}{2}))

y = e^{- \frac{t}{2}} (cos (\frac{11 t}{2}) + \frac{5}{11} sin (\frac{11 t}{2}))

Graph

Beliebte Beispiele

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

(2y^2+2y+4x^2)dx+(2xy+x)dy=0

(2 y^{2} + 2 y + 4 x^{2}) d x + (2 x y + x) d y = 0

steigung 2-3/(x^2),\at x=1

s l o p e 2 - \frac{3}{x ^{2}}, at x = 1

tangent f(x)= 7/(sqrt(x)),(1,7)

t an g e n t f (x) = \frac{7}{x}, (1, 7)

limit as x approaches 0+of x-ln(x)

x \to 0 + lim (x - ln (x))