Substitute the given values for the variables and then solve the equation for the remaining variable. y-y1=m(x-X1) y=12. y1 =6, m= 3. x1 = 4 When y = 12, y1 =6, m = 3, and x, = 4, x= (Type an integer or decimal rounded to two decimal places as needed)

Q: Which of the following will simplify to the correct solutions for the equation 3z2 + z- 4=0?

A: correct answer is a  x=−b±√b2−4ac/2a where b=1 a= 3 c=-4

Q: What is the best equation for the following scenario? A mountain climber starts at the bottom of a…

A:

Q: 5) Find the general solution of the following equation y" +8 y"-9 y=0

A:

Q: Solve of the following equation y' +y x'y? Given by

A: Given differential equation y'+4xy=x3y2. The objective is to solve the differential equation.

Q: -x + y + 3z = 0 x + 5y + z = 8

A: here i am providing sol.

Q: Find the general solution of the given equation.

A: Here we have to find out general solution.

Q: GIVEN EQUATION 1 : -2X + -3 Y + 0Z = EQUATION 2 : 6X + -8 Y + -8 Z = 54 EQUATION 3 : -9X + -4 Y + 2…

A: The given system of linear equations                                                    -2x-3y+0z=…

Q: If a special solution of the equation is y1=x , find the general solution?

A:

Q: Use an appropriate substitution to solve the equation 7 y y = x20 and find the solution that…

A:

Q: Solve for x and y.

A: Two matrix is subtracted.  Lets take left hand side  xy-yx-yxx-ysubract the corresponding elements…

Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

A:

Q: solve below equation system in N Vx +y = 7 and x+/y = 11

A: In algebra to use numerals, symbols, and letters called variables, or pro-numerals, and combinations…

Q: Solve the following equation by variation of parameters ? y" - y' = 2x

A: Given: Differential equation  y" - y' = 2x Concept and Formulae Used: Variation of parameters…

Q: Find the general solution to y = (1 – x)y² + (2x – 1)y – x. - Note that you can find an obvious…

A: Given:-  y'=(1-x)y2+(2x-1)y-x. The general form of the Riccati method is  y'=s(x)y2+q(x)y+p(x).…

Q: Solve the following equation y" + 2/ + y = * using the method of variation of parameters.

A:

Q: Solve xyy'=1+y^2, for y=3 when x=1, or y(1)=3

A: The given differential equation with initial condition is: xyy'=1+y2 where y1=3.…

Q: 2.    Solve the equation cosecxcosydy - 10xdx , separably

A:

Q: Solve  formula for the specified variable. y - y1 = m(x - x1) for x

A: We have to find the formula for x, so we consider other variables as constants. We isolate x on one…

Q: Solve for y:  x = y2 - 1, y ≥ 0

A:

Q: ) Verify that y=e-2x is a solution of equation x(y")3+ (y')4 – y = 0

A:

Q: Solve the equation x^2+y^2=4z+3 for x, y, z EZ

A: Given:   x2+y2=4z+3    x , y , z ∈ Z

Q: Solve for the solution for the equation: y' + xy = 6x/y with the condition of y(3) = 6.

A:

Q: Solve for y(1): y" — y' — 6y = 0, y(0) = 11, y'(0) = 28

A: Use the standard formulas of Laplace and inverse Laplace transform to solve the given problem as in…

Q: Solve for y" (2): y" - y = 0, y(0) = 12, y'(0) =

A: Differential equation and it's solution

Q: Use an appropriate substitution to solve the equation xy' + y = -2xy², and find the solution that…

A:

Q: Solve (1-x³) y' -2(1+x) y = y5/2 Bernouilli

A:

Q: 4. Solve the equation SHOW YOUR COMPLETE AND CLEAR SOLUTIONS. x² (y')° = 2y² – xyy' -

A:

Q: Solve for (x,y) in the following two equations  {(x+6)/5} - {(x2y)/10}=1     (1)…

A: Given,

Q: Solve formula for the specified variable : y - y1 = m(x - x1) for x

A: Solution: Let the general line passes through two given points Ax1,y1 and Bx2,y2 and let the general…

Q: Solve for x. 14) s - x-6 2r- 19 13 2r-18 13) M 23 4x-29

A: Simplification

Q: Solve for the equation using seperation of variable. xy3dx + (y+1)e -xdy =0

A: To solve this using the variable seperable method let us simplify the differential equation Given…

Q: Use an appropriate substitution to solve the equation 9. and find the solution that satisfies y(1) =…

A:

Q: solve. y'−( 1/x) y = x^3, where x>0

A:

Q: Solve the following 3rd order equation: y'"+2y"-y'-2y=0

A: First find roots then general solution..

Q: Solve for the specified variable. V: 2 zrh, for h 3.

A: V=23πr2h

Q: Solve the equation  by variation of parameters. y′′ + y′ =x.

A:

Q: Solve for the value of x 18 4x – y 24 12y Ox = -5 Ox = 2 Ox=5 X = Ox = 7

A: We have given  1824=4x-y12y 18=4x-y .......(i) 24=12y ........(ii) y=2412 y=2 Put y= 2 in equation…

Q: Find the solution. Auxiliary equation and general solution y'= 1 + 3ytanx

A: The given first order linear differential equation is y'=1+3ytanx. Find the solution. Here we use…

Q: Calculate the larger of the two roots for the auxiliary equation to the second order linear…

A: Given

Q: 5. Solve the equation y-y'y"=1, given that y=√2 and y'- and y'= when r=0.

A:

Q: solve equation y''' - ( y'' / x ) = 0

A:

Q: How to solve this equation y" - 4y" + 2y' - 16y = 4x + 1 using Variation of Parameters.

A: Step:-1 Given that y'''-4y''+2y'-16y=4x+1 For complementary function, The auxiliary equation is…

Q: Solve the given equation for x. 32x - 2 = 37 'ou may enter the exact value or round to 4 decimal…

A: Topic:- algebra

Q: Solve the equations by variation of parameters. y" + 2y' + y = ex

A: y''+2y'+y=ex    ------------(1) reduced equation of equation (1) is  y''+2y'+y=0    -------------(2)…

Q: To solve for /, back-substitute the value w 10 into Equation 2. w 4 10 + 4

A:

Q: Substitute the given values for the variables and then solve the equation for the remaining…

A: 1 0.022 0.022 2 0.184 0.368 3 0.447 1.341 4 0.347 1.388

Q: Solve of the following equation 4 y' +y = x³y2 Given by

A:

Q: Find root of the equations and verified your solution x2002 + 4x2001 (а): 2449.25 4x2000 х — 5 + х+2…

A: (a) Given equation is                                        x2002+4x20014x2000=2449.25 Now…

Q: Solve for y: x = y2 - 1, y ≥ 0.

A: Given: x=y2-1, y≥0

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.