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joeseppe
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Just started Engineering Math III and have a question. Sorry about the notation, our library computers have scripts disabled.
My math prof does a poor job of explaining the concepts. Help me out!
Verify the indicated function y=phi(x) is an explicit solution of the given first order DE. Proceed by considering phi simply as a function, give its domain. Then by considering phi as a solution of the DE, give at least one interval I of definition.
(y-x)y'=y-x+8
y=x+4(root(x+2))
I first got y'
y=x+4[(x+2)^(1/2)]
y'=2/root(x+2)
then plugged it into the original
8root(x+2) / root(x+2) = 4root(x+2) +8
8=4root(x+2)+8
0=4root(x+2)
My math prof does a poor job of explaining the concepts. Help me out!
Homework Statement
Verify the indicated function y=phi(x) is an explicit solution of the given first order DE. Proceed by considering phi simply as a function, give its domain. Then by considering phi as a solution of the DE, give at least one interval I of definition.
Homework Equations
(y-x)y'=y-x+8
y=x+4(root(x+2))
The Attempt at a Solution
I first got y'
y=x+4[(x+2)^(1/2)]
y'=2/root(x+2)
then plugged it into the original
8root(x+2) / root(x+2) = 4root(x+2) +8
8=4root(x+2)+8
0=4root(x+2)