Q

Solve the differential equation Differential Equations Miscellaneous Exercise 12.

Q12.    Solve the differential equation $\left[\frac{e^{-2\sqrt x}}{\sqrt x} - \frac{y}{\sqrt x} \right ]\frac{dx}{dy} = 1\; \ (x\neq 0)$.

Views

Given,

$\left[\frac{e^{-2\sqrt x}}{\sqrt x} - \frac{y}{\sqrt x} \right ]\frac{dx}{dy} = 1$

This is equation is in the form of

p =   and Q =

Now, I.F. =

We know that the solution of the given differential equation is:

$y(I.F.) = \int(Q\timesI.F.)dx + C$

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