What is the solution for (d^2y)/(dx^2)-366(dy)/(dx)=0 ?

The solution for (d^2y)/(dx^2)-366(dy)/(dx)=0 is y=c_{1}e^{366x}+c_{2}

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(d^2y)/(dx^2)-366(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} - 366 \frac{d y}{d x} = 0

y = c_{1} e^{366 x} + c_{2}

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 366 \frac{d y}{d x} = 0

Solve linear ODE:

y = c_{1} e^{366 x} + c_{2}

y = c_{1} e^{366 x} + c_{2}

16 y^{^{''}} - 9 y = 0

5 y^{^{'''}} + 45 y^{^{'}} - 1350 y = 0

\frac{d ^{2} y}{d t ^{2}} + 4 \cdot y = 0

y^{^{''}} - 2 y^{^{'}} + 5 y = 0, y (0) = 2, y^{^{'}} (0) = 4

\frac{1}{4} x^{^{''}} + 2 x^{^{'}} + 4 x = 0

What is the solution for (d^2y)/(dx^2)-366(dy)/(dx)=0 ?
The solution for (d^2y)/(dx^2)-366(dy)/(dx)=0 is y=c_{1}e^{366x}+c_{2}