What is the solution for (d^3y)/(dx^3)+(d^2y)/(dx^2)-2y=0 ?

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

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(d^3y)/(dx^3)+(d^2y)/(dx^2)-2y=0

\frac{d ^{3} y}{d x ^{3}} + \frac{d ^{2} y}{d x ^{2}} - 2 y = 0

y = c_{1} e^{x} + e^{- x} (c_{2} cos (x) + c_{3} sin (x))

Solution steps

\frac{d ^{3} y}{d x ^{3}} + \frac{d ^{2} y}{d x ^{2}} - 2 y = 0

Solve linear ODE:

y = c_{1} e^{x} + e^{- x} (c_{2} cos (x) + c_{3} sin (x))

y = c_{1} e^{x} + e^{- x} (c_{2} cos (x) + c_{3} sin (x))

f (x) = 5 x^{2} - 2 x

\int \frac{1}{16 + y ^{2}} d y

\int 11 sec^{2} (x) d x

\int_{0}^{π} 9 sin^{2} (2 x) d x

y = x^{2} - 30, y = 10 - 3 x

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