Q 1 Consider the following differential equations: What is the difference between order of the first differential equation and - Maths - Differential Equations

Question

Q 1
Consider the following differential equations:

What is the difference between order of the first differential
equation and degree of the second differential equation?
PLEASE solve quickly need it urgent

Vipin Verma · Accepted Answer

x2{d2ydx2}12+1y2/31-(d3ydx3)2+d2dx2{(d2ydx2)-3/4}Here in this
differential the order is 3,as the highest derivative is the order
of differential equation, And d3ydx3 is involved We can not get the
exact order ofd2dx2{(d2ydx2)-3/4} As the term in the bracket has
negative exponentSo if you expand it, you will not get dnydxn, here
n is the order dydx-5x =(2y+3xdydx)-5/2Or (dydx-5x)
=1(2y+3xdydx)5/2Or (dydx-5x)2=1(2y+3xdydx)5Or
(dydx-5x)2×(2y+3xdydx)5 =1So here the degree is 7 , as on
expansion one term will involve (dydx)7So the difference between
order and degree = 3-7 =-4(ans)

Q.1 Consider the following differential equations: What is the difference between order of the first differential equation and degree of the second differential equation? PLEASE solve quickly...need it....urgent

Q.1

Consider the following differential equations:

What is the difference between order of the first differential equation and degree of the second differential equation?

PLEASE solve quickly...need it....urgent