Problem 41
In each of 39 through 42, use the method of to solve the given differentialequation.ty+ 2y = sin t, t > 0
Step-by-Step Solution:
Step 1 of 3
Week 2 Day 1 Notes 8/29/16 – 8/31/16 6.2 Trigonometric Integrals and Substitutions Calculus II *Important to know trigonometric identities for this section* Using the Pythagorean identity ∫ sin ( )os x( ) Ex 1: sin2(x)=1−cos 2(x ) sin (¿¿2x) cos (x)sin x )dx u=cos (x) ∫ ¿ du=−sin (x)dx 2 cos (x) 1−¿ −du=sin (x)dx ¿ ¿ ∫ ¿ 2 u 1−¿ ¿ ¿ ∫ ¿ 2 4 6 −∫ (u −2u +u )du 3 5 7 − u −2
Step 2 of 3
Chapter 2.1, Problem 41 is Solved
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Step 3 of 3
