calc_tutorial_5_8_008

Problem Statement

{2,4,6,8}

{3,5,7,11,13}

Find the solution to satisfying .

Step 1

Question Sequence

Question 1

Recall that if is a differentiable function satisfying the differential equation where k is a constant, then the general solution to the differential equation, , is

A.

, for some constant C

B.

, for some constant C

C.

D.

, for some constant C

Find the general solution of for some constant C.

A.

B.

, for some constant C

C.

, for some constant C

D.

, for some constant C

Correct.

Incorrect.

Step 2

The constant C is determined by the given initial condition, .

Question Sequence

Question 2

Evaluate in terms of C using the general solution, .

Since , the corresponding value of C is C = .

Incorrect. Do you see where you went wrong?

Excellent work.

Step 3

Question Sequence

Question 3

Substitute in the general solution to give the particular solution of the differential equation with the given initial condition.

A.

B.

C.

D.

Incorrect. Do you see where you went wrong?

Excellent work.