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,

.

c

step-by-step explanation:

it would be see because your formula is f(x)=6x, so 6 times 1 is 6 and you go on and the best answer is c.

b, i believe, but not sure.