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

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

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

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

y = e^{\frac{- 3 x - l n ( x ) + c _{1}}{4}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{- 3 x - l n ( x ) + c _{1}}{4}}

y = e^{\frac{- 3 x - l n ( x ) + c _{1}}{4}}

x \to 0 lim (\frac{x}{x ^{2} - 4})

t^{3} \frac{d y}{d t} + 3 t^{2} y = 2 cos (t)

\int x^{15} e^{- x^{16}} d x

f (t) = 2 t^{3} - 3 t^{2} - 4 t

\frac{\partial}{\partial x} (\frac{4 π ^{2} x}{y ^{2}})

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