Find the particular solution of the differential equation dy + 7y = 6 satisfying the initial condition y(0) = 0. y= your answer should be a function of x.

Step-by-step explanation:

We have the equation with the initial condition . It is not difficult to notice that this is a linear equation, which has the general expression

.

The solution of this equation is expressed by a general formula:

.

In the particular case of our equation, we have

.

Then, we must calculate the integrals

that implies

,

and

Then,

.

In order to obtain the value of the constant we substitute the initial condition

that implies

Therefore,

.

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

kk.bj.

step-by-step explanation:

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