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

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

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

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

y = c_{1} e^{3 x} + c_{2} e^{x}

Solution steps

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

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{x}

y = c_{1} e^{3 x} + c_{2} e^{x}

y = cos (sin (2 x + 5))

\int sec^{2} (7 x) d x

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

- \frac{x ^{2}}{y ^{2}}

\int \frac{( 2 x ^{2} + 4 x - 5 )}{x ^{2} ( x + 3 )} d x

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