What is the solution for 4(d^2y)/(dx^2)+3(dy)/(dx)-10y=0 ?

The solution for 4(d^2y)/(dx^2)+3(dy)/(dx)-10y=0 is y=c_{1}e^{(5x)/4}+c_{2}e^{-2x}

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4(d^2y)/(dx^2)+3(dy)/(dx)-10y=0

4 \frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} - 10 y = 0

y = c_{1} e^{\frac{5 x}{4}} + c_{2} e^{- 2 x}

Solution steps

4 \frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} - 10 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{5 x}{4}} + c_{2} e^{- 2 x}

y = c_{1} e^{\frac{5 x}{4}} + c_{2} e^{- 2 x}

What is the solution for 4(d^2y)/(dx^2)+3(dy)/(dx)-10y=0 ?
The solution for 4(d^2y)/(dx^2)+3(dy)/(dx)-10y=0 is y=c_{1}e^{(5x)/4}+c_{2}e^{-2x}