Question

Solve the differential equation dy/dx-(2/x)y=e^1/x

Answer 1

Since y is just a constand we can just take it out unless your doing derivative with respect to y but in this case its with respect to x.

first you rewrite -(2/x)y=e ^1/x

as -(2x^(-1/2))y = e^1/x

by power rule the derivative is -(x^(-3/2))y= e^1/x (1/2x^-(3/2)

note the derivative of (e^to anything lets say g(x) is just e^to that same number g(x) times the derivative of g(x) for example:  e^x^2 the derivative would be e^x^2 times 2x

Answer 2

Solution will be the given differential equation

dy/dx=e^1/x+x/2y=differntial e^x will be same so the solution will be:

dy/dx= e^1/x+1/2y

 

 

Answer 3

x dy/dx=(1-x^2)/y^2

Answer 4

Yَ+1/xy=y^3

Answer 5

1+1=

Answer 6

y/x^2 + e^1/x = c

Answer 7

x+3=10

Answer 8

(2x^2y-2y^2+2xy)dx + (x^2-2y)dy=0

PLS Kindly help me in my differential equation. Exact or Non-Exact topic