Question

In: Advanced Math

dy/dx + y/x \ x3y2

dy/dx + y/x \ x³y²

Expert Solution

Solution: The given diffrential equation is --------(1) is first order first and degree diffrential equation.

This is of the form where is known as Bernoliie's diffrential equation.

Dividing equation (1) with , we get

--------(2)

-----------(3)

put

Equation (3) becomes

that implies ------(4)

This is of the form where

which is Linear diffrential Equation in 't'.

Integrating factor(I F )=

I F = =

Therefore Integrating factor ( I F ) =

The solution of (4) is given by ------(5)

------(6)

replace t by in (6)

we get

The solution of is .

Colby Messinger answered 10 months ago

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