Find the value of m and n so that tha function . = + −x a solution of Given differential equations ′′ − ′ − = 0 () = , ′() = 2

Question:

Determine the value of m and n so that the following system of linear equation have an infinite number of solutions.

and

Step-by-step explanation:

Given

Rewrite both equations:

For the expression to have a solution, the following condition must exist:

Split to 2

Cross Multiply

-- (1)

-- (2)

Solving (1)

Divide both sides by x

Open bracket

Collect Like Terms

Make m the subject

Solving (2)

Divide both sides by 7

Open bracket

Collect Like Terms

Make n the subject