Given the differential equation (dy/dx)+(2/x)y=x^2y^3 ; solve this equation using the bernoulli method; final answer should be (1/y^2)=?

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Step-by-step explanation:

Given differential equation

Differential equation can be write as

By Bernoulli method

Susbstitute .....{equationI}

Differentiate equation I w.r.t x then we get

Susbstitute the values in the given differential equation then we get

It is first order linear differential equation and compare with the first order linear differential equation

Then we get P(x)= and Q(x)=

Integration factor=

Integration factor=

Integration factor= .

Using

Substitute then we get

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x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6

cosine

step-by-step explanation: