Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)

a. y=3sinx
b. y=3xsinx-5xcosx
c. y=-3/2xcosx
d. y=3cosx
e. y=3/2xsinx

C

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. . Differentiate again to get , then so this choice of y doesn't solve the equation.

B. and , then so y is not a solution

C. hence . Then so y is a solution.

D. and , then thus y isn't a solution

E. hence . Then then y is not a solution.

ian gone lie this got me confused

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this