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Beliebt Rechnen >

6y^{''}+4y^'+7y=0

Lösung

6 y^{^{''}} + 4 y^{^{'}} + 7 y = 0

Lösung

y = e^{- \frac{t}{3}} (c_{1} cos (\frac{19 t}{3 2}) + c_{2} sin (\frac{19 t}{3 2}))

Schritte zur Lösung

6 y^{''} (t) + 4 y^{'} (t) + 7 y = 0

Solve linear ODE:

y = e^{- \frac{t}{3}} (c_{1} cos (\frac{19 t}{3 2}) + c_{2} sin (\frac{19 t}{3 2}))

y = e^{- \frac{t}{3}} (c_{1} cos (\frac{19 t}{3 2}) + c_{2} sin (\frac{19 t}{3 2}))

Graph

Beliebte Beispiele

tangent f(x)=2x^2+x-1

t an g e n t f (x) = 2 x^{2} + x - 1

y^{''}+9y=0,y(pi/2)=1,y^'(pi/2)=-3

y^{^{''}} + 9 y = 0, y (\frac{π}{2}) = 1, y^{^{'}} (\frac{π}{2}) = - 3

implicit (dy)/(dx),9y+x=4y

im pl i c i t \frac{d y}{d x}, 9 y + x = 4 y

integral of (6x^2-4e^x)

\int (6 x^{2} - 4 e^{x}) d x

derivative (5x^3+5x^2)/x

d er i v a t i v e \frac{5 x ^{3} + 5 x ^{2}}{x}