What is the solution for derivative of dy/(dx)-a^2y+b=0 ?

The solution for derivative of dy/(dx)-a^2y+b=0 is y=c_{1}e^{ax}+c_{2}e^{-ax}+b/(a^2)

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derivative of dy/(dx)-a^2y+b=0

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

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

Solution steps

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

Solve linear ODE:

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

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

x \to \infty lim (\frac{45}{x})

\frac{d}{d t} (\frac{4}{3} t^{3})

y = x + 1, y = 0, x = 0, x = 2

\frac{6}{( s + 1 ) ^{6}}

(4 x + 7)^{3}

What is the solution for derivative of dy/(dx)-a^2y+b=0 ?
The solution for derivative of dy/(dx)-a^2y+b=0 is y=c_{1}e^{ax}+c_{2}e^{-ax}+b/(a^2)