Solve the differential equation
x^2 dy/dx = 2y

The solution of the given differential equation is

Step-by-step explanation:

Explanation:-

Step:1

Given differential equation is

x^2 d y /d x = 2  y

By using variable separable that is separating x terms and y terms

Step 2:-

Now integrating on both sides we get the solution

.........(1)

......(a)

and By using again integration formula

.....(b)

we will apply these (a)and (b) integration formulas in equation (1)

we get solution is

(here you can take integration constant is log c)

Step 3:-

Now simplification

........(2)

Here you can apply logarithmic formula

now the equation (2) can be written as

......(3)

and again simplify using logarithmic formula

taking logarithmic function base (e) and equating b value

now ........(c)

by using equation (c) formula

now the equation (3) can be written as

now

Final answer :-

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step-by-step explanation:

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