Solve the differential equation dy dx + 12x2y = 36x2. SOLUTION The given equation is linear since it has the form of this equation with P(x) = 12x2 and Q(x) = 36x2. An integration factor is I(x) = e∫12x2 dx = .

Therefore the solution of the differential equation is

   [ where c is arbitrary constant]

Step-by-step explanation:

Given differential equation is

Here   and  

The integrating factor of the differential equation is

Multiplying the integrating factor both sides of the  differential equation

Integrating both sides,

......(1)

Let

putting ,

      [ where c is arbitrary constant]

Putting the value of z

From (1) we get

Therefore the solution of the differential equation is

   [ where c is arbitrary constant]

72 fudge and 75 toffee

step-by-step explanation:

i hope this : )

what is the original number? you forgot to add it.