Answer to Question #124128 in Calculus for Dereck Cole

Question

(a) Verify that y = e
2x
sin x is a solution to the differential equation d
2y
dx2
− 4
dy
dx + 5y = 0.
(b) Differentiate the following functions with respect to x:
(i) ln(1 + sin2 x) (ii) x
x
.
(c) Evaluate the integral Z
2x
3 − 4x − 8
x
4 − x
3 + 4x
2 − 4x
dx.

Answer 1

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