If my−nxn=q, where q is a function of x only, then the differential equation m+ny′=0 has an integrating factor of the form μ(x)=e∫q(x)dx. find an integrating factor and solve the given equation. (21x2y+2xy+7y3)dx+(x2+y2)dy=0

Answer with Step-by-step explanation:

We are given that

Compare with

Then, we get

Differentiate M w.r.t y

Differentiate N w.r.t x

Q=21

Solution is given by

Using partial integration

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

54.864 meters

step-by-step explanation: