Q4|| A|| Find the value of (x) by solving the following equation: 2 1 4| -1 0 = 41 dy |-2 -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: Q2\ Solve the following 2y + 3y' – 2y = te-2t y(0)=0 and y'(0)=-2

A: Please see the explanation below

Q: Solve using variation of parameters (D^2 − 1)y = e^x + 1. answer: y = (c1 + c2x)e^3x

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Q: Solve the simultaneous equations, giving your answers correct to 3 s.f. where appropriate. y = 2x-…

A: Given,          y=2x-1          y=x2+4x-6

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…

Q: Find the solution to x’(t)=2x(t), x(0)=3

A: We have to solve the above differential equation.

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

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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 general solution. 1. (D2 + 3D − 18)y = 0

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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: Solve: (4x3y−18x2−y)dx + (x4+3y2−x)dy = 0 a) Check for exactness b) If the equation is exact,…

A: Exact differential equation

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

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Q: Solve for y in terms of x. 16x+4/3y=15 Y= What is step by step procedure to solve.

A: Solve for y in terms of x. 16x+4/3y=15 Y= What is the step by step procedure to solve?

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: 4. (х + у — 1)dх + (2х + 2у + 1)dy — 0

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Q: W3 y = dy solve for a-w' dw HIN

A: To find: Solve using chain rule for dy/dw

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

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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: Q1// Solve by Graphics the mathematical model Маx Z %3D Зx1+ 2x2 s.t -x1 + 2x2 S4 3x1 + 2x2 s 14 х1-…

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Q: Q1: using variation of parameters to solve: * y"' – 2y" – 21y' – 18y = 3 + 4e-t %3D

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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: Find the particular solution. (D^2 − 2D − 3)y = 0; when x = 0, y = 0, y′ = −4

A: From the given differential equation; D2-2D-3y=0 The auxiliary equation is: m2-2m-3=0 Now solve;…

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

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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: Solve the general solution 3x² ydx + (y* - x*) dy = 0

A: Solved below

Q: b. Find the general solution of the following equation i) +5+6y=0

A: We are asked to find the general solution for the given equation.

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: Given (D3+D)y = (secx)2. Solve for W2

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Q: Q1// Solve by Graphics the mathematical model Маx Z %3D 3x1+ 2х2 s.t -х1 + 2х2 s 4 Зх1 + 2x2 S 14…

A: Plot the graph of the first inequality -x1+2x2≤4 by changing it into the equality and marking the…

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: 13. Solve for X in the equation, given A- and B- (a) W+ A- R (c) X- 3M + 28 =0 (d) 6X - 44 - 38 =…

A: I have used the rule of matrix addition

Q: 3. Solve, showing details: y₁ = 4y2 + 5e² y2 = -₁- 20e-t Y2 y1(0) = 1, y2(0) = 0

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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…