What is the solution for (dy)/(dx)-5(dy)/(dx)+6y=0 ?

The solution for (dy)/(dx)-5(dy)/(dx)+6y=0 is y=e^{(3x+c_{1})/2}

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(dy)/(dx)-5(dy)/(dx)+6y=0

\frac{d y}{d x} - 5 \frac{d y}{d x} + 6 y = 0

y = e^{\frac{3 x + c _{1}}{2}}

Solution steps

\frac{d y}{d x} - 5 \frac{d y}{d x} + 6 y = 0

Solve separable ODE:

y = e^{\frac{3 x + c _{1}}{2}}

y = e^{\frac{3 x + c _{1}}{2}}

\frac{d y}{d t} = y t^{2} - y

x y - x \frac{d y}{d x} = 2 x, y (- 1) = 3

\frac{d x}{d y} = 50 - \frac{x}{100}

\frac{d y}{d x} = 0.04 - \frac{y}{a}

\frac{d}{d θ} (r (θ)) r (θ) = (4 + sec (θ)) sin (θ)

What is the solution for (dy)/(dx)-5(dy)/(dx)+6y=0 ?
The solution for (dy)/(dx)-5(dy)/(dx)+6y=0 is y=e^{(3x+c_{1})/2}