Answer to Question #124131 in Calculus for Dereck Cole

Question

(a) Find the solution of the initial-value problem and determine its interval of existence (i.e
domain of the resulting function y).
(i) dy
dt =
1+t
2
t
, y(t = 1) = 0.
(ii) (t + 1) dy
dt = 1 − y, y(t = 0) = 3. [Hint: Let A = −(±e
−C).]
(b) Evaluate the following integrals:
(i) Z
x ln(x + 1)dx
(ii) Z
sin3
(ln x) cos2
(ln x)
x
dx.

Answer 1

Dear Dereck Cole, your question requires a lot of work, which neither of our experts is ready to perform for free. We advise you to convert it to a fully qualified order and we will try to help you. Please click the link below to proceed: Submit order