What is the solution for (d^2y)/(dx^2)+5(dy)/(dx)+6y=0 ?

The solution for (d^2y)/(dx^2)+5(dy)/(dx)+6y=0 is y=c_{1}e^{-2x}+c_{2}e^{-3x}

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(d^2y)/(dx^2)+5(dy)/(dx)+6y=0

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 6 y = 0

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x}

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 6 y = 0

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x}

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x}

(1, 7), (10, 1)

\int sin (x) x d x

2 sin (x) + 2 x cos (x)

\int e^{y} cos (2 y) d y

x \to 2 lim (\frac{2 x - 25}{x - 2})

What is the solution for (d^2y)/(dx^2)+5(dy)/(dx)+6y=0 ?
The solution for (d^2y)/(dx^2)+5(dy)/(dx)+6y=0 is y=c_{1}e^{-2x}+c_{2}e^{-3x}