Consider the differential equation ay" + by' + cy = 0, with a, b, c ЄR and a 0. Given that the characteristic equation has zeros ₁ and ₂ which are both real, write down the possible general solutions.

Q: Solve                 2   =   X-500/ 85

A: Firstly, we add 500/85 on both sides  and then by adding 2+500/85, we get the required result.

Q: g = b- ca, solve for a

A: We can solve it as below for the value of a

Q: 3 Solve: 2-6 xatya=6 3x

A:

Q: Solve: I 2x - 3 I- 5 = - 2

A: 2x-3-5=-2

Q: Solve the equation cosh⁡z=-i

A:

Q: Solve the equation

A: Given equation, y43=-3y

Q: Please show every step. Also, set up as an equation where you are solving for “X”.

A:

Q: X-X-30-0

A: x2 – x – 30 = 0Solve by completing the square.

Q: Please solve (b)

A: Given

Q: What property is used to solve 15x = 5?

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: 1 + √²-√²+1 = √₂ -= X 2 2 - - x + √x + ₂ + V z X X 2

A:

Q: = =x +2 4

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

Q: Solve for x in the equation 3x² = 48 Ox=4 Ox= -4 Ox=4,-4 x = 4,8 Ox=2,8

A: Solution:

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 a35bx= 71-x

A: Given :          35x = 71 - x   To solve for x.

Q: 3y 6y 2x° 2.

A:

Q: Solve: 2x + 5 = 3 or 2x + 3 < 3.

A: Given: 2x+5≥3 . 2x+3&lt;3 . When 2x+5≥3, 2x≥-2  x≥-1 When 2x+3&lt;3, 2x&lt;0  x&lt;0

Q: Solve 3(a+2) = 24 using the distributive property as STEP 1

A: Answer

Q: Solve ex =-x

A:

Q: 6 i = 81. Solve The solution is x =

A: