Solve:–2x+y=6 y = 3x + 4

Q: Solve ,  y" - 225y = 0

A: The given differential equation is y''-225y=0. This is a 2nd order homogeneous differential equation…

Q: Solve,  sec(4x)-2=0 for the two smallest positive solutions

A: To solve: sec(4x)-2=0

Q: Solve y" + 21y" + 147y + 343y = 48xe-7

A: To solve given differential equation first we find the roots of homogeneous part and then write the…

Q: Solve y" + (y')² = 0.

A:

Q: Solve by substitution:  y = − 2x − 9y = 2x − 1

A: Plug y= -2x-9 in the other equation and solve for x

Q: Solve by substitution:  y = 6x − 6− 3x − 3y = − 24

A: Here, y=6x-6 …(1) -3x-3y=-24 ….(2)

Q: Solve by substitution:  y = 2x − 3y = − 2x +9

A: To solve the given equations by substitution method.

Q: Solve ,  y"-7y'+12y=0

A: Given  y''-7y'+12y=0→             1

Q: Solve - 2 -ळ - 2z -3

A: Here, we need to solve 2z+1-2z-34=2-3i. Let us convert RHS to polar form. So, 2-3i=5cos-arctan32+i…

Q: Solve ,  y"-15y'+56y=0

A: By finding auxiliary equation we can find the solution,   By method of constant coefficient

Q: Solve ,  y" - 13y' + 40y = 0

A:

Q: Solve ,  y"-16y= 0

A: The given differential equation is  y" - 16y = 0

Q: Solve y'=6sin2x

A:

Q: Solve by substitution:  y = 7x − 24y = − 3x + 16

A:

Q: Solve by Linear Combination: 7x+y=-9 -3x-y=5

A:

Q: Solve by substitution:  y = − 2x + 8− 7x − 6y = − 8

A: Substitute y=-2x+8 in the other equation and solve for x

Q: Solve y′ = (x4-x3)y

A:

Q: Solve for y 6x + 2y = - 8

A:

Q: Solve 2x'4 2xg+y'=2x +24

A: The solution are next step..

Q: Solve ,  y" - 13y' + 42y = 0

A:

Q: Complete the three ordered pair solution of the equation. -3x+y=5            (5, _____ ) (3, _____ )…

A: Given that x=5  for x=5 we find y

Q: Solve y′′+ 9y = 3t^2

A: Solve y′′+ 9y = 3t^2

Q: Solve by substitution:  y = 3x + 13y = − 2x − 22

A: Substitute y = 3x + 13 in the other equation and solve for x

Q: Solve for y 6x + 2y - 8

A:

Q: solve 2/y=6

A: Given that           2 ÷ y = 6 & we have to find the value of  'y' .

Q: Solve by substitution:  y = − 6x + 3y = 6x +3

A:

Q: solve  (-y)(y^2)

A:

Q: solve equation:-3y-2=-5-4y

A: First we need to move constants on one side and variable on the other side .So we add 4y to both…

Q: Solve by substitution:  y = 3x + 2y = − 3x +8

A:

Q: Solve by substitution:  2x +3y = − 107x + y = 3

A:

Q: Solve. х y" – 7y' = 6e6x

A:

Q: Solve ,  (D2-7D+12)y = 0

A: Given ,  (D2 - 7D + 12)y = 0 The auxiliary equation is  m2 - 7m + 12 = 0

Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

A:

Q: Solve by substitution:  y = 6x + 4y = − 3x − 5

A: Substitute y=6x+4 in the other equation and solve for x

Q: Solve using the substitution method.y=6-3x and 4x+y=12

A: Here we have to find the value of x and y.  Given Equation is y=6-3x ........................... (1)…

Q: Solve by substitution:  − 6x + y = 20− 3x − 3y = − 18

A:

Q: Solve ,  y" - 14y' -32y = 0

A: We have to solve  y" - 14y' - 32y = 0  (D2 - 14D - 32)y = 0 The auxiliary equation is  m2 - 14m - 32…

Q: "solve by making the appropriate solution" x4-2x2-8=0

A: We have to factor -8 so that sum of the factors =-2-8=-4 times 2And -4+2=-2So we write -2x^2 as…

Q: Solve y(4) - 25y" = 0

A:

Q: Solve ,  y^2-6y+9 = 0

A: We have to solve  y2 - 6y + 9 = 0 y2 - 3y - 3y + 9 = 0 Then ,

Q: Solve, y'+ y^2cos(2x) = 0

A: 1 have solved by separation of variables methods

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.