What is the solution for (d^2y)/(dx^2)-6(dy)/(dx)+8y=0 ?

The solution for (d^2y)/(dx^2)-6(dy)/(dx)+8y=0 is y=c_{1}e^{4x}+c_{2}e^{2x}

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(d^2y)/(dx^2)-6(dy)/(dx)+8y=0

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 8 y = 0

y = c_{1} e^{4 x} + c_{2} e^{2 x}

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 8 y = 0

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{2 x}

y = c_{1} e^{4 x} + c_{2} e^{2 x}

sec^{2} (2 x + 5) \cdot 2

n \to 2 lim (n^{2})

f (x) = (5 x - 5) (2 x^{3} - x^{2} + 1)

\frac{\partial}{\partial u} (u^{5} + v^{9})

\int_{1}^{e^{4}} \frac{ln ^{3} ( x ^{2} )}{x} d x

What is the solution for (d^2y)/(dx^2)-6(dy)/(dx)+8y=0 ?
The solution for (d^2y)/(dx^2)-6(dy)/(dx)+8y=0 is y=c_{1}e^{4x}+c_{2}e^{2x}