Show your work 20.5=15.5+(-3.6x)+1.8x a. -20 b. -2.7 c. 6.6 d. 20

Starting with the given  20.5=15.5+(-3.6x)+1.8x, rewrite "+(-3.6x)" as "-3.6x:"

20.5=15.5-3.6x+1.8x

Next, combine like terms:  20.5-15.5 = -3.6x+1.8x, or

                                                     5      =  -1.8x

Dividing both sides by -1.8 yields  -2.78 = x, or x = -7/9

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Step-by-step explanation:

The given differential equation is

It can be written as

Integrate both sides.

Apply ILATE rule on right side. Here, t is first function and is the second function.

            .... (1)

Initial condition is y(1) = 1. It means at t=1 the value of y is 1.

Add on both sides.

Substitute the value of C in equation (1).

Therefore, the solution of given initial value problem is .