4. As an engineer and a scientist, a research has been conducted and the problem has been modeled below, (a) Max Z = 7x + 8y s.t 6x + 4y < 24 x + 2y < 6 -x + y<1 x, y> 0. Solve the problem algebraically.

Q: 4. Solve the particular solution of y" + 3y' + 2y = 6e¬, y(0) = 1, y'(0) = 2, using a. Variation of…

A: we have given the differential equation y"+3y'+2y=6e-ty(0) = 1, y'(0) =2 we have to find the…

Q: 3. Find the general solution for y" – 10y' + 25y = 0 s.t y(0) = 1, y(1) = 0

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Q: Use the method of variation of parameters to find a particular solution of y" – 5y' + 4y = e*. %3!

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Q: Find the formulation of a particular solution of y" + 3y' +2y = 3+t2 – te-2t cost without…

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Q: Solve the problem: max/min U = xy subject to x2 + y2 2 %3D

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Q: s.t 6x +4y < 24 x + 2y < 6 -x +y<1 ys2 x, y 2 0. Solve the problem algebraically.

A: given system of linear equations. Max Z=5x+4y such that 6x+4y=24x+2y≤6-x+y≤1y≤2 to solve the problem…

Q: 2. Find general solution of the DE y" + 3y" + 3/ + y = 0

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Q: 1.Solve the given problem W = f(x, y, z) = 3x²y+ yz² + 2z³ fxis equal to ? fyis equal to ? fzis…

A: Follow next step

Q: Solve by Graphical Method Max z=2x+4y Subjected to 3x+4y0

A:

Q: The solution of y2 – x²y' = 0 with IVP (1)= . is given by y(x) = 1+x 1 y(x) = 1+x 1 y(x) = 1+ x2 (x)…

A: Given initial value problem y2-x2y'=0    ; y(1)=12

Q: Solve a & b with given A[r = 3x şax+ (y + z + 3) Ay +(6x - z³) a₂] where: np = ax + 4ay - 2az 2+y³

A: Given

Q: Suppose ay″+by′+cy=0 with y(0)=d and y′(0)=k has a general solution y=5e^(3x)−xe^(3x).   What are…

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Q: 13.Obtain the general solution of y²dx+x(x +y)dy = 0

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Q: Is y(x) = C1sin2x + C2cos2x, where C1 and C2 are arbitrary constants, a solution of y” + 4y = 0?

A:

Q: 6. Find a general solution to the third order equation y" + y" + 3y – 5y = 0.

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Q: Use Variation of parameters to find the solution of the initial valuue problem 3y = t², y(1)

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Q: 3(c) Solve, by finite difference method, the boundary value problem: y"=1+y'; y(0) = y(1)=0 with h…

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Q: 3. 2y" + у' - 3 А. 3 В. Зх C. 3x D. x?

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Q: 10. Find the particular solution that satisfies the initial condition. my'+2y = 3x2-5x, Initial…

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Q: H4. Use the method of variation of parameters to find the general solution of dy -X- - 3y= 4x³. dr2

A: Please find attachment for the details solution

Q: the general solution of yv1+x²dx + x/1+ y?dy = 0 using variable separable method. 3. Obtain X-

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Q: Solve the initival value problem: y = 2(5 + 9x)(1 + y²), y(0) : V3 1

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Q: Find the general/particular solution of the follow 1. xy' - y = 2x Inx 2. (1+ x)y' +y = vx 3. t+2y =…

A: The general solution of the differential equations

Q: 1. Find the general solution using variation of parameters. y" – 4y + 4y = (x +1)e²r

A: Solve by using variation of parameters.

Q: 10. The general solution of y"+4y = 6e2" + 4 sec? 2x is:

A: 10. To find the general solution of the given differential equation in (10), first we find yh which…

Q: dr a) de rcose + rsene subject to r(0) = 1 (solve by separation of variables)

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Q: Find general solution to Cauchy-Euler equation: (t^2)y''-2ty'-3y=t^2

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Q: Use the method of variation of parameters to solve the initial-value problem y" – 2y – 3y = 12e-2*,…

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Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

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Q: We wish to find the solution to =26y that passes through the point (x, y) = (1, 3).

A: Explained below

Q: Obtain the general solution valid near the origin: 2y'+9ху'-36у 30

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Q: (7) Find the general solution to y = (x +y + 1)

A: Given differential equation is: dydx=x+y+1 Let us assume x+y=t 1+dydx=dtdxdydx=dtdx-1…

Q: 2 ydx = 3xdy; when x = -2, y = 1 Ans. y = (x/2)3

A: Given: 2ydx=3xdy ; x=-2, y=1   We know that; ∫1ax+bdx=1alnax+b+C

Q: 8. Find the particular solution that satisfies the initial condition. y'+y = 6e*, Initial Condition:…

A: Find the particular solution

Q: Suppose ay" + by' + cy = 0 with y(0) = d and y'(0) = k has a general solution y = 4e2 3. What are…

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Q: b) Give a particular solution for y" – 2y' + y = et - 1+x2

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Q: Solve for the general solution xydx - (x² +2y² ) dy = 0 x² = 4y° In(2 ) xy = 4y° In() Option 1…

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Q: 2 Verify that for r > 0, y = r is a solution to yy = x. V3

A: Double differentiate to prove the given

Q: 8. Obtain the particular Solution by satisfying the conditions indicated. y' = x exp (y - x²); when…

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Q: y (n + 1) y (n) = (-)" u (n)?

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Q: Use Variation of Parameters to solve the Initial Value Problem. y" + 6y' + 9y = 3e", y(0) = 3, y'(0)…

A: The given differential equation isy''+6y'+9y=3e3t    ; y0=3, y'0=3We need to solve the above…

Q: 3. Find the complete solution of the giyen DE using the Method of Variation of Parameters: y" + 44…

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Q: Given: Max Z=30x+25y x+2y>6 2x+y26 x,y>0 Solve for z

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Q: 4. Verify that y=cx+e² +1 is a solution of the equation y=y'x+(y')' +1.

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