Chapter 1. calc_tutorial_5_8_008

1.1 Problem Statement

{2,4,6,8}
{3,5,7,11,13}

Find the solution to satisfying .

1.2 Step 1

Question Sequence

Question 1.1

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

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Find the general solution of for some constant C.

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Correct.
Incorrect.

1.3 Step 2

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

Question Sequence

Question 1.2

Evaluate in terms of C using the general solution, .

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Since , the corresponding value of C is C = iSba6t70dtA=.

Incorrect. Do you see where you went wrong?
Excellent work.

1.4 Step 3

Question Sequence

Question 1.3

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

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Incorrect. Do you see where you went wrong?
Excellent work.