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aznkid310
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Homework Statement
a) Show that phi(t) = e^2t is a solution of y' - 2y = 0 and that C*phi(t) is also a solution for any constant C
b) Show that phi(t) = 1/t is a solution of y' + y^2 = 0 for t>0 but that y = c*phi(t) is not a solution unless c = 0 or c = 1
Homework Equations
What do they mean by "show'?
The Attempt at a Solution
a) dy/2y = dt
(1/2)ln(y) = t + C
y = e^(2t + c) = Ce^2t, where c is any constant
Now what?
b) -dy/y^2 = dt
1/y = t + C
y = 1/(t + C)
Again, how do i show?