Consider the homogeneous first-order linear differential system Ÿ' = AŸ for A = Which vector functions are solutions to the system? (A is not a constant matrix, so 2t justify your answers by direct verification.) (a) (b) (c) e' (d) What is the dimension of the solution space? From a,b,c find a general solution and form a fundemental matrix of solutions. Verify by finding the Wronskian. (e) Solve the initial value problem with Ÿ (0) :

Q: b. Solve: 1 +Vx + 4 =V3x +1

A: We will solve the equation as following.

Q: Solve: V3x + 1 - Vx + 4 = 1.

A:

Q: Solve the equation (1-5x)e¹-5 =0 for x. Give your answer as an integer or a fraction.

A: lne=1lnxn=nlnx

Q: Solve for b. r= (3+b)m b =

A: Please refer the attached image for complete solution.

Q: Solve y2 + 25 = 8y

A: To solve the provided equation y2+25=8y for the value y. Now, use the quadratic formula to find the…

Q: = =x +2 4

A: given: x4=25x+2 given equation can be written as x4=2x5+2

Q: Solve: х? — 7х — -12 O x = -3, 4 O x = – ¤ = — 4, 3 х —D — 4, — 3 %3D Ox = 3, 4

A: The given quadratic equation is: x2-7x=-12

Q: Solve (x+5)2=27

A: Explanation of the answer is as follows

Q: 146-d solve for d

A:

Q: olve for w 2w2 +18w+28=(w+7)2

A: Given: 2w2 +18w+28=(w+7)2  ⇒2w2 +18w+28=w2+14w+49⇒2w2 +18w+28-49=w2+14w+49-49…

Q: Solve equation Y-6=18

A: Given: Y-6=18

Q: Solve /5a + 24 — г.

A: