In p(x,y) = 3ry – x* – y°, x is the average daylight and y is the average daily rainfall. %3D Solve for the points that maximize productivity.

Q: Find the solution of the DE using variation of Parameters y''' - 3y'' + 3y = (ex/x)

A: The given problem is to find the solution of differential equation using method of variation of…

Q: d²y Solve the particular solution for = 2 – 4x when points (0, 2) and (-1, 3) are on the dx2 curve.

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Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation,…

Q: Find the 2nd solution by reduction of order. y" - 4y + 4y=0; y₁ = e²x

A: Here given the differential equation as y''-4y'+4y=0 .......(1) And it's one solution is y1=e2x

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 general solution to y"(t) = t1² – 3t* + e' – nsin (at). Show all steps

A: y"(t)=t12-3t4+et-πsin(πt)d2ytdt2=t12-3t4+et-πsin(πt)

Q: Use Euler's method to approximate the solution to y' = y + 2t , y(-1) = -1 on the interval [-1, 1]…

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Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

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Q: In each exercise, obtain the particular of solution. a. (y + Vx2 + y²) dx – x dy = 0; when x = V3, y…

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Q: y'' + p(x)y' + q(x)y = 0Here why only two initial conditions?

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Q: dy dx - Solve = xey-x², where y = 0 at x0 take x = 0, 0.2, 0.4 using 4th order of range kutta…

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Q: dy-Hy-5 te %3D xp

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Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' 1+ e2y •y(0) = 2 (h=0.01) .What is the error in…

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Q: 5. Solve xdx + ydy а? (хdу-ydx) x2+y2 using exact D.E method.

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Q: Find the 2nd solution using reduction of order. t²y" - 4ty +6y=0;t> 0; y₁=t²

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Q: find the general solution given that y1(t)=t is a solution. use the method of reduction of order…

A: To find a solution to the differential equation t2y''+2ty'-2y=0…1 given that y1t=t is a solution.…

Q: Find the general solution using variation of parameters. y" – 4y + 4y = (x + 1)e²"

A: Given differential equation is, y"-4y'+4y=x+1e2x The auxiliary equation is, m2-4m+4=0m-22=0m=2,2…

Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

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Q: Solve the non-homo. D.E. 1.y" + у%3D Зе2x

A: Differential

Q: Find a particular solution to y"+2y' + y =t

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Q: Use variation of parameters to find the particular solution to 3t y'' + 5y + 4y = 2e Y(t)=| Preview

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Q: Use undetermined coefficients to find the particular solution to y'' - y = 4e t Y(t) =

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Q: Find general solution of y" – 2y' + y = , By Variation of t2+1' parameter method.

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Q: An equation that considers both the above assumptions is dP P kP(1 M - dt

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Q: Solve the following L.P using graphical method. Maximize Z= 3a + 2b la + 1b 0. Find the optimum zone…

A: See the solution in the  given fig.

Q: A Q2 Show that y=x+ is the solution of 3x – x = x+ y. dy dx

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Q: Find the general solution of (x^2+x)dy=3dx

A: Given difeerential equation, (x2+x)dy=3dx

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

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Q: Find the degree of homogeneity and the GENERAL SOLUTION. 1) y(2x² – xy + y²)dx – x²(2x – y)dy = 0…

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Q: Use the variation of parameters to find the solution to the IVP. 0 1 et 1 X' (t) = x(t) + ,and X(0)…

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Q: SOLVE THE EQUATION (y -2) dx - (x-y-Ddy = o ISSING THE DE LINEAR IN x 4 Y VAKIABLES.

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Q: 2. Determine C when x-y%3D0 show the solutions. (xy + x)dx = (x²y2 + x² + y2 + 1)dy

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Q: Q2\A: By using partial method solve 2x² cos x dx

A: Given :∫2x3cosxdx

Q: xy' – y = 2x lnx

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Q: Ql: Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h=D 0.1) using Runge-Kutta.

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Q: Find the solution of the initial value problem y" + 4y = 0, Y vG) = 1, -2. Sketch the graph of the…

A: We will find out the required solution.

Q: x²dx + y(x-1)dy = 0 %3D

A: We need to find solution of differential equation.

Q: Solve the IVP y + 2y = 0 if t≥ 1 y(0) 1. Is the solution continuous? = "

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Q: Given that y1 = 3x is a solution of æ°y" + xy' - y = x2 on the interval (0, 0), use the reduction of…

A: Concept - used the reduction of order

Q: Exercise 5 Using the method of variation of parameters, the particular solution , for y"+3 + 2y = "…

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Q: Ql: Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h= 0.1) using Runge-Kutta.

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 2. Solve (y 2)dx (x- y 1)dy 0 using the method for linear coefficients in two linear variables. %3D…

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Q: What is the general solution of differantial equation?  Whicf of the options x² - y² + xy dy/dx =0

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Q: d?x 4. Solve the IVP: dx 4. dt + 4x = t³e2t,x(0) = 0 ,x'(0) = 0 by any method - dt2

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Q: Solve the follawing systen. 2 x, - 5x - cost dt dx2 b) by using the method of unde termined…

A: Given system is dx1dt=2x1-5x2-costdx2dt=x1-2x2+sint First, let us solve corresponding homogenous…

Q: Given d'y dx² = 6x-0.5x², y(0) = 0, y(12)=0, Use step size h = 4, z1 = 20, and z2 = 25. Enter 4…

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Q: (Think homogeneous) Solve explicitly (y² - xy) dx + x²2dy = 0

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Q: OBTAIN THE GENERAL SOLUTION (x - 1) dx - (3x - 2y - 5) dy = 0

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