Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,434 questions

17,804 answers

1,438 comments

47,303 users

Solve the initial value problem...?

+1 vote
dy/dx = 12 sin^2 x cos x, y(0)=4
asked Feb 8, 2013 in CALCULUS by andrew Scholar

1 Answer

+1 vote

dy/dx=12 sin2x cos x

Multiply each side by 'dx'.

dy = (12 sin2x cos x)dx

Apply integral each side.

image

image

Integrals with Trigonometric Functions formula: 

image

image

image

Given that y(0) = 4.

4 = 4[sin(0)]3 + c

4 = 0 + c

Therefore c = 4

y = 4(sin3x) + 4.

answered Feb 8, 2013 by richardson Scholar

Related questions

asked Sep 20, 2018 in CALCULUS by anonymous
asked Sep 20, 2018 in CALCULUS by anonymous
...