Apply the power series method to obtain the solution of x54x

Apply the power series method to obtain the solution of (x^5+4x^3)y\'=(5x^4+12x^2)y

As we know that,

y\'=dy/dx

dy/y=((5x^4+12x^2)/(x^5+4x^3))*dx

since, on both sides differential of denomenator is written in the numerater,

so, integrating both sides we get

answer=>y=x^5+4x^3

$Apply the power series method to obtain the solution of (x^5+4x^3)y\'=(5x^4+12x^2)ySolutionAs we know that, y\'=dy/dx dy/y=((5x^4+12x^2)/(x^5+4x^3))*dx since, o$

Apply the power series method to obtain the solution of x54x

Solution

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