Is the point (7,11) a solution of the equation y= 8x– 1? Determine whether (7,11) is a solution of y = 8x - 1 O No O Yes

Q: Express the solution of, x3 + 2x? < x + 2, using interval notation. O (-2,-1)U(1,00) O…

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Q: Show that rejst =rcjs(-0)

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Q: z= 16 is a solution to the equation 8z = 2. O True O False

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Q: Find a value of n such that y = (x^n)(e^x) satisfies the equation xy' = (x-20)(y)

A: given,     y = (xn) ex satisfies the equation xy1= (x-20) y

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

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Q: Find all values of m for which y = emx is a solution to the equation y" + y'- 2y 0.

A: Calculate y' and y" , then put value of y,y' and y" in given equation and solve it.

Q: Find the general solution of (29) y′′+9y=0.

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Q: The equation z* + 4 = 0 has no solution. %3D Select one: O True False

A: We have to check the given equation has solution or not

Q: (a) Solve the following linear equation by Cramar's rule:- x- y + 2z = -4 3x + y - 4z = -6 2x + 3y -…

A: a Given system of linear equation is x−y+2z=−43x+y−4z=−62x+3y−4z=4 Here, A|b=1−12−431−4−623−44 Here,…

Q: Find the particular solution of x?y"+ xy' 13; y = 0 and y' = 1/2, when x = 1.

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Q: Q1: find the complete solution of the following: 1. y" + 4y' + 4y = x2 e-2x

A: Given equation- y''+4y'+4y=e-2xx2 Auxiliary equation- m2+4m+4=0m+22=0m=-2,-2

Q: Q1. Verify that y= is a solution of the DE -20t y + 20y = 24 %3D

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Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

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Q: 3. Solve using any technique y" – 2y/ – 3y = 3e",; 7 ", y(0) = 3, y'(0)

A: We have to solve given problem:

Q: Determine whether y, = 3e2t – e-3t and yz = 2e-3t – 6e2t form a fundamental set of solutions. HOW…

A: We have to determine whether the given set of solutions y1 and y2 form a  fundamental set of…

Q: t= 14 is a solution to the equation 7t+3 = 5. O True O False

A: this is concept of simplification,

Q: Let (xp, y,) be the solution of the following equations In 2 (2x)™² = (3y)n3 3Inx = 2lny %3D Then xo

A: Given equations are 2xln2=3yln33lnx=2lny

Q: Find a second solution to 4x²y" +y = 0, given one solution y1(x) = x!/² In x.

A: Given differential equation 4x2y''+y=0.....1 And given one solution is y1x=x12lnx Equation (1) can…

Q: 3. Find the number of non negative solutions to x +y + z + w = 21.

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Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

A: The given equation is, -----(1)

Q: 2) Does the equation 2x + 6y = 35 have any solutions where both x and y are whole numbers? Why or…

A: The given equation is  2x + 6y = 35

Q: Which of the following equations is the DE whose solution correspond to y = C1sin3x + C2cos3x + 9x²…

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Q: Show that the equation 3x+4y+5z=a, 4x+5y+6z=b and 5x+6y+7z=0 do not have a solution unless a+c=2b

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Q: 2a) find a solution of y" (x) = y(x) that passes the origin and go trhout the point (In(2),-).

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Q: Q2/ Choose the correct 4 By using fixed point method, which as the following formulas can use to get…

A: The given equation is 3xex=1 on [0,1]. To Find: Fixed point iteration rule for the above function.

Q: Solve the given equations by crammer's rule  2x - y = 17 3x + 5y = 6

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Q: Find a particular solution to y" + 7y' + 10y = -19te“. %3D

A: Introduction: When there is a non-zero function of the independent variable on the right-hand side…

Q: 3. Find all solutions: 2cos ( 2x -) +3 = 4 in the interval [0,2)

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Q: Determine the value of k such that y = 4x2 – 3e2x - is a solution to x(1 – x)y" + (2x² – 1)y' + k(2x…

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Q: Find value of k in the equation kx+8y+11=0 if point X=(10,7) lies on this line

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Q: Solve 2x + 3y = 11 and 2x -  4y = - 25And hence find the value of m for which y = mx + 3

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Q: Determine the coefficients of the equation y=ax'+bx²+cx+d so that it will have critic points at…

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Q: ) Find the general solution to y" – y' – 2y = 3x + 4. (Be sure to find the values of the…

A: i have find Complementary function and particular integral, the general solution is the sum of them.…

Q: Find the general solution of (26) y′′+5y′+6y=0.

A: We are given the differential equation y''+5y'+6y=0. To solve this differential equation, we…

Q: Use undetermined coefficients to find the particular solution to y'' + 4y' – y = 5t° + 5t + 8 -…

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Q: d pair is a solution of 2x +4y < 9. (2, -4) c. (3, 1)

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Q: (a) Solve the following linear equation by Cramar's rule:- x - y + 2z = -4 3x + y - 4z = -6 2х +…

A: We have given equation x-y+2z=-4 3x+y-4z =-6 2x+3y-4z=4 Matrix representation of equation  AX=B…

Q: Verify that for x>0, (2/ /3)x³² 2 is a solution of the equation yy" =x.

A: Given:     To verify: y is the solution of equation yy''=x

Q: D: Show that the equation z' +pz -g? = 0.

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Q: a) Solve the following linear equation by Cramar's rule:- - y+ 2z = -4 x + y - 4z =-6 x+ 3y – 4z = 4

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: A Find the general Solution of y"ty=2xcorx -Cosx %3D

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Q: Use undetermined coefficients to find the particular solution to y'' + y' – 3y = 4t + 5 Yp(t) = %3D

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Q: solve the sysyem  5x-y+2z=3 4x+5y+7z=26 x+y+4z=3 The solution is, (type an ordered triple)

A: Given equations:                               5x-y+2z=3       ....... (1) 4x+5y+7z=26…

Q: Find a particular solution of (11) y′′−3y′−4y=2sint.

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Q: Find all 'a' belongs to R that the given equation does not have solution: 2ax-12x+a+22=0

A: Given, ax-12x+a+22=0

Q: = 3e2x and y,, = x² + 3x are respectively solutions of у" - бу' + 5у -9е2х y" – 6y' + 5y = 5x² + 3x…

A: General solution y(g)= y(h)+y(p)

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.