Q4|| A|| Find the value of (x) by solving the following equation: 2 1 4| -1 0 = 2 dy -2 41 -2 Jy2 – 4

Q: (c) Solve the equation f (x) = 2x2 – 5x – 4 = 0 %3D in Z7. (You only need to find the first two…

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Q: Find a real general solution. x?y" – 2y = 0.

A: The given differential equation is x2y''-2y=0. Clearly, the given DE is a second order Euler…

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A: We have to solve the above differential equation.

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A: At first we take least common multiple of the denominators then after cross multiplying the equation…

Q: x² + y² = 7 X=7 O igular (solve) x² + y² = 49. - Option 1 O

A: Given that r=7  r2 =49 let x= 7 cos(theta) y=7 sin(theta)

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

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Q: Q5. Use the method of undetermined coefficients to solve (a) y" + 2y + y = x²e-". (b) у" — 2у + 5у 3…

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Q: Q3/ i& it was 2y-2x=0 di fferenitul equation, its solution is. O zy -x²+e のy-x2= e %3D ® zy+x²=e +…

A: To find: The solution of the differential equation 2y'-2x=0. Calculation: The solution of…

Q: A. Obtained the general solution. E... 10. (D² – 3D + 2)y = 3x²

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Q: dy = -8xy² dx 3. Solve + 4x(4x+1) y-(8.x² +4x² -1) by knowing u =x is a solution.

A: Given: dydx=-8xy2+4x4x+1y-8x3+4x2-1

Q: Solve this DE (D2+2D+2)y = e-xcscx

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Q: Q1 Using a method of reduction to separable equation and reduction to linear equation, find the…

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Q: The solution of (D² – 4D+13)y 0 5 2x (A eix . Be Jox (A ex + Be)

A: D2-4D+13y=0 The auxiliary equation is m2-4m+13=0 ⇒m=4±-42-4132⇒m=2±3i

Q: Q1/ find the solution to + (1-4h?)y-ein(2n) -0 %3D y(0) = 0.2.

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

A: The set of equations is given as, 2x+3y=11…………(i)2x-4y=-25………(ii) Apply Elimination Method, Subtract…

Q: -(D² – 25) y = x e* . Using method of undetermined coefficients, what is y Consider A ' = Ax e* + B…

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Q: 2. Find all solutions to the equation y" +y – 10y = 0. Hint: p(A) = X3 + A – 10 = (X – 2)X² + 2A +…

A: The solution of homogenous linear differential equation of constant coefficient is find by…

Q: Q2\ Solve the following 2y +3y'- 2y = te-2t y(0)=0 and y'(0)=2 %3D |

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Q: 1. Solve the equation. f'(x) = 6f (x) and f (2) = 9 А. f(x) = 6e9x+2 %3D В. f(x) = 9e2x+6 %3D С.…

A: We need to solve the equation f'(x)=6f(x) and f(2)=9

Q: Q2: Solve the equation x - 3 = 0 , by using Newton-Raphson method where x, =1.8, and for k=4.

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Q: Q1// Solve by Graphics the mathematical model Маx Z 3D 3x1+ 2x2 s.t -х1 + 2x2 s 4 Зx1 + 2х2 S 14 х1-…

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Q: Q1-9 * He is (D² +3D-4) y(x)=15e" given The general solution to the equation y(x)=qe* +(c, +3x)e**…

A: Explanation of the answer is as follows

Q: bx-'x5/cxfx1 b-1 (x"x/c 1/b (e) 6x0.2 = 5y0.4 (solve for y in terms of x) %3D x = (2-1/2)-1/2 (solve…

A: Since you have posted multiple sub parts, as per our policy we will answer first three subparts.…

Q: Q3: Solve the following 0 2

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Q: Q-1 A/ solve the following equation: = -y(1+ xy?)

A: Re-write the equation to get Bernoulli form:…

Q: 3x + 3 Solve R(x) s 0, where R(x) 2r + 4"

A: Given: 3x+32x+4≤0 For finding solution of given inequality, we simplify it

Q: Find the values of "r" for which y(x) = e* solves the equation y" +3y'-4y= 0

A: We have to find the value of r .

Q: 2y Solve the I.V.P y'+ =1-, y(0) = yo, then find the value 2 3 of for which the solution touches ,…

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Q: (x+1)3 solve for y'. %3D x2

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Q: 11. (D- D)y = 0.

A: As per our guidelines only one question can be solved. Please find the solution for Q no 11 below:

Q: D2-4D+4)y = 6e2x / x4 Solve for the general solution of this D.E.

A: Given: D2-4D+4y=6e2xx4

Q: Q2 :Given that the equation x² – kx + 8 = 0 where k ER has one of the solutions is %3D x = 2 - j2.…

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Q: Q-1:B: Solve the initial value problem d?y + 4y = 8x2 ,y(0) = -3,y'(0) = 0 %3D %3D dx2

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Q: Q2) Find The root of the Equation fca)- x².x -3 -0 On L1, 2] using (the fixed point method), Where…

A: NOTE : There are no roots possible in the interval [1,2] of the equation f(x) = x2-x-3 = 0. The only…

Q: Q2\ Solve the following 2y + 3y' – 2y = te y(0)=0 and y'(0)=2

A: Given DE is 2y"+3y'-2y=te-2t  and given initial conditions are y(0)=0 and y’(0)=-2 solve the given…

Q: dy 2. Solve for and simplify the result. dr a y = (3r – 2)5(2r² + 5)® 5x – 1 2r +3 b. y=

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Q4/ solve the following equations. d²y dy + 81- = 0 dx² dx

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Q: Q4|| A|| Find the value of (x) by solving the following equation: 2 1 4| -1 0 = 41 dy |-2 -2 Jy2 – 4

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) d²y z + 2y = 3 ,y…

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Q: y(x) =xr,  with r satisfying r2 + (b - 1) * r + c = 0, it's the equation solution of x2 y''…

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Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: ii) Solve (x D²– 3xD+4) y = x² given that y(1) =1 and %3D - y'(1)= 0.

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Q: Q-1:A: find a real general solution: * y + 4y' + 5y =x +2

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

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Q: Solve the simultaneous equations y = 1 + 3x - x2 and y = 3 – x graphically. Plot your graphs for…

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Q: Q5 Suppose the equation y" – 4y' – 5y = f (x) has y = 3x' as a solution. (b) What is the general…

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Q: Q.1 Solve the equation x'y-3xy' +3y-2x'e' by method of variation of parameters.

A: We are only allowed to solve one question at a time and up to three sub-parts. Please post the…

Q: Q3/ A: Use the method of separation of variables to solve the equation x +1 y - y'e".u = 0

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