z = 6 – 2 y

Q: 2x^2 + y^2=18 xy=4

A: Given 2x2+y2=18    ......1xy=4   ....2

Q: y"-6y'+9y= 0 v(0) = 2 1/(0) = 3.

A:

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: y" – 5y' + 6y = 2e' %3D

A:

Q: y ý – 2X e 1/2 2 (У+4) II

A:

Q: (b) y" + y' – 6y = 6Kx.

A:

Q: y" - 4y' = 0

A: Given: Ordinary equation is  y''-4y'=0

Q: y" + 4y" + 4y' = 0. %3D

A: Follow the procedure given below.

Q: y" - y' - 2y = 0

A: Given the differential equation is y" - y' - 2y = 0 Here the auxiliary equation is m2 - m - 2 = 0

Q: y" + 4.5y' = 0 %3D

A:

Q: y = ª+2 (x+ 2)

A:

Q: y = (1– 2x) ;y" ¡y"

A:

Q: y = 2x %3D Lx+y=9

A: We have to substitute one equation into other and then calculate both x and y

Q: y" + 7y + 6y = 0 %3D

A:

Q: y x+15 y 2x

A: A system of linear equations is a set of one or more linear equations. Each linear equation…

Q: y (1, 2) y = 2 x²

A:

Q: Find y'. y = V In(7x + 5) y' =

A: Given the function y=ln(7x+5)         ........(1)

Q: y' = vsinx y +1

A:

Q: v (0) = 2, y(0) =

A:

Q: 3. y' + (x + 2)y² = 0

A:

Q: (D4 − 1)y = 0

A: D4-1y=0

Q: x'y%3=

A:

Q: x2+y2=25

A:

Q: 3y-6(y+z)+y

A: Distribute -6.

Q: y – 3 = (x+1)

A: To plot the points:

Q: x – y = 2

A:

Q: (D² – 6D + 9)y = 0 ; x = 0; y = 0; y' = 2 %3D %3D

A:

Q: x + y = 12 2x-y 9 %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7. y = x*V9x² + 5

A: Given, To evaluate derivative ofy=x4(9x2+5)

Q: 4x + 3y > 24 y > 4 x>0 y 2 0

A: Given: 4x + 3y >= 24 y >= 4 x >= 0 y >= 0

Q: y" − y' − 2y = 3e2x

A:

Q: y = |x + 4|

A: Given: - The equation is, y=x+4 Tp sketch: - The graph of the given equation by point plotting

Q: y''  +  y'+  2y  =  3e^2x

A:

Q: y" + 2y' + y = 0 %3D

A: A differential equation is an equation that relates one or more functions and their derivatives. A…

Q: y′ = t2 + y2

A:

Q: X 23 y + 4y = 0

A: Solving second order differential equation:-

Q: Find y' and y". x³y³ = y – 4

A: Explanation of the answer is as follows

Q: y" - 4y = 0 %3D

A: Given the differential equation is y" - 4y = 0. Here the auxiliary equation is m2 - 4 = 0

Q: y′=2y−1,y(0)=1

A: Separate the variables , then integrate both sides

Q: y' = L 2y 2х

A:

Q: Find the range of

A:

Q: y" – 2y +y = 0 %3D

A:

Q: y" – 7y' + 10y = 0 %3D

A: Given differential equation is - y''-7y'+10y=0-(1) We need to verify that y1=e2x and y2=e5x are the…

Q: (b) y = 11 - 2x, 2x - y = 23 %3D %3D

A:

Q: 2m(t+2) b) y = -2cos +3 4

A:

Q: y = (p + 2) (3p) %3D

A:

Q: (c) y" + 18y" + 81y' = 0.

A: Homogeneous differential equations with constant coefficients

Q: y" + 2y' - y = 0

A: Definition used -         The solution of the linear differential equation -         The…