Find general solutions of the differential equation. Primes denote derivatives with respect to x. 6xy^3+2y^4+(9x^2y^2+8xy^3) yâ²=0

Step-by-step explanation:

From the differential equation given:

The equation above can be re-written as:

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

So;

Let's Integrate with respect to x

Then;

Now, we will have to differentiate the above equation with respect to y and set ; we have:

Hence,

Finally; the general solution to the equation is:

answer: i guess 5 units?

step-by-step explanation: