# How i solve differential equation x dy/dx -y=2x^2 and x dy/dx +y=3 ?

##### 1 Answer

#### Answer

#### Answer:

#### Explanation

#### Explanation:

#### Answer:

If

#### Explanation:

Start with the first:

Standard form for a linear differential equation is

Divide by

Now we need to multiply both sides by an integrating factor

In this case

So

Multiply the entire equation in standard form by

At this point you should be asking why on earth did we just multiply this by some random function? The reason why is now the left hand side is expressible as the derivative of the product of

In other words, we now have

Now that we have

Finally to solve for

Let's make sure that this is true by plugging our answer back into the original differential equation.

We want to show that

We have

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