SOLUTION: Solve xy′=9y−4x,y(1)=2. (a) Identify the integrating factor, α(x). α(x) = My answer is x^(-9), correct. (b) Find the general solution. y(x)= My answer is x/2+Cx^9 , c

Algebra ->  Expressions -> SOLUTION: Solve xy′=9y−4x,y(1)=2. (a) Identify the integrating factor, α(x). α(x) = My answer is x^(-9), correct. (b) Find the general solution. y(x)= My answer is x/2+Cx^9 , c      Log On


   



Question 1184057: Solve xy′=9y−4x,y(1)=2.
(a) Identify the integrating factor, α(x).
α(x) = My answer is x^(-9), correct.
(b) Find the general solution.
y(x)= My answer is x/2+Cx^9 , correct.
Note: Use C for the arbitrary constant.
(c) Solve the initial value problem y(1)=2.
y(x)= My anwer is x/2-((x-4)/(2x^9))x^9, but is a wrong

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

I guess you need to find C first.
if the general solution is
y%28x%29=+x%2F2%2BCx%5E9
and if y%281%29=2, find C
2=1%2F2%2BC%2A1%5E9
C+=+3%2F2
then
y%28x%29=+x%2F2%2B%283%2F2%29x%5E9