What is the solution for (d^2y)/(dx^2)-by=0 ?

The solution for (d^2y)/(dx^2)-by=0 is y=c_{1}e^{sqrt(b)x}+c_{2}e^{-sqrt(b)x}

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(d^2y)/(dx^2)-by=0

\frac{d ^{2} y}{d x ^{2}} - b y = 0

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} - b y (x) = 0

Solve linear ODE:

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

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

100 x - \frac{d y}{d x} = x y

cot (x)

f (x) = \frac{7 x}{2 ^{x}}, at x = 2

\frac{d}{d x} ((x - 1) ln (x))

x \to 2 lim (x^{3} - 4)

What is the solution for (d^2y)/(dx^2)-by=0 ?
The solution for (d^2y)/(dx^2)-by=0 is y=c_{1}e^{sqrt(b)x}+c_{2}e^{-sqrt(b)x}