"stem of equations х — 2у em if x-2y = 8 is tangent to 3 e system has two distinct real s

Q: O Solve y' = x + y + xy, y(0) = 1 by choosing step length 0.2 for y(0.4) by Euler's modified ethod

A: Given y'=x+y+xy, y(0)=1 Take f(x,y)=x+y+xy, Using the euler formula, Since it is given that h=0.2.…

Q: (x%ex - 2) Cln /x+il) edy xy =0 y CO) = -4 y'Co) =5 %3D

A: In this question, we find the largest interval for the solution existence of the differential…

Q: SOWE NING VARIATION OF PARAMETERS OR REDNOTON OF ORDER (D´+1) y = secx csc x

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Q: (ux – u² – x²) dt max subject to х %3D х + и, х(1) 3 2.

A: As per the question we are given a optimization problem, and we will find the optimal control law by…

Q: The cubic function y = ax3 + bx² + cx + d pass through (0, -6), (1, -2) and tangent to the line 3x –…

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: [(x²-y²)²] x+y -2 LEK 1J0 du dt

A: We have to find value of given double Integral.

Q: you justify results from caculations. 1) Find the solution of the following cquation: y" ly 0, with…

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Q: y(x) = x2e−2x +Ce−2x is the general solution of y0 +2y = 2xe−2x. If y is the solution which satisfies…

A: Given that y=x2e-2x+ce-2x is a solution of y’ +2y=2xe-2x

Q: 5. Exact Difle rential Equation: 3ry -4y' +6dr + (r° – 6x°y² - 1kty =0

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Q: Employ Picard's method to obtain y (0-1) of the equation y,=0 when x =0. :=x² +y}, given that %3D

A: Given IVP is dydx=x2+y2, y0=0 when x0=0 Let f(x,y)=x2+y2 , y0=0 when x0=0. Formula for Picard…

Q: h 2, k -1 and r 5 %3D (x - h)2 + (y- k)2 = r2 %3D %3D wwww x2 + y2 +Dx +Ey + F 0

A: Given:- h=2, k=-1 and r = 5 To find:- Equations of circle in form (x-h)2+(y-k)2 = r2  x2 +y2…

Q: integral of (y^2-14y+5) / y(y-1)(y-5) dy

A: ∫y2-14y+5yy-1y-5dySubstitute u = y-1=∫y2-14y+5yy-1y-5dyApply the Sum Rule:…

Q: V Solve using variaton of parameters or recuction of order (D. 3D+ 2)y = (1+e*)

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Q: Elimination of Arbitrary Constant (equation attached) 1. xcos(xy)+exlny=c

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Q: B. NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS 2. (D2 + D – 2)y = 2x – 40cos2x 3. (D² + 1)y…

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Q: 2sin³e)d@dt

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Q: Time left 2:50:59 Find the approximate root of y 3x-12x-15 when x=0.02 using differentials.

A: We have to find root of given equation using differential.

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

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Q: y = x - 2 sin(x), 0 sxs 27 aximum value inimum value

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Q: 2- Linear edluan 1 - y' +スリ= 2é 2- x y'ony-ax? %3D 3. (x-2) y`+y. x 4 4-(49-3x)dX+5X dy = - 5_ dy dx…

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Q: 2 4) d?y |1+ () dx2 dx, Find the: Туре: Order: Linearity: Why?: Unknown Function: Independent…

A: Topic:- differential equations

Q: Find the solution (varition of parameter)   X2y11-2xy1+2y=x3sin x

A: According to the given information, it is required to find the solution of the given differential…

Q: fc (x+2y) dx + x2 dy, c consists of line segments from(0,0) to (2,1)  and (2,1) to (3,0)

A: ∫c(x+2y) dx + x2 dy c consists of line segments from (0,0) to (2,1)  and (2,1) to (3,0).

Q: Solve: x"-x+ 5 y'=t y" - 4y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

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Q: II. Solve xdy + (3x – 2y)dx = 0 in two ways. Write your solution on the space provided. 1. First…

A: The given equation is; xdy + (3x-2y)dx =0

Q: Solve: x" -x+ 5 y'=t y" - 4y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

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Q: y" + 4y' + 4 = 0, when x = 0, y = 1, y' = -1

A: The given equation is y''+4y'+4=0. The given condition is that,  x=0 ⇒y=1, y'=-1 i.e., y(0)=1;…

Q: .fx cos² x dx

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Q: x² +y F(x,y)=- x- y - is a homogeneous function of degree

A: Topic= Function Degree =1

Q: SOWE FOR THE ORTHO GON AL TRAJECTORIES y² = 4x² (1-ex)

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Q: 2 Solue Bor メ= o-5 dx = y X (6) = 0 dt dy =_X yo) =I %3D

A: As per bartebly Guideline we can solve only one question.. Hope you understand

Q: which following one is cauchy-euler differantial equation? I→y'+y = sin y II → y' + 2y = sinx 38 -…

A: The solution is given as

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: identify the nonlinear terms. (i) 2x – y +z – t = sin- 2 (ii) x ++z+w = 4

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2) y(4) + xy(3) + x²y" – xy' + sin y = 0 Find the: Туре: Order: Linearity: Why?: Unknown Function:…

A: The objective is to solve the above question.

Q: 1. Obtain the particular solution when x = 1 and y = 1 5) dx 3 + y 3 dy = 0 y

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Q: (3y' + y)/y = x (1) y' - 3x'e-Y = 0 (2) y In y dx + (x + y)dy = 0 (3) xy' + y = sin x + 2 cos x (4)…

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Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx - (3x- y – 4)dy = 0 %3D

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Q: A. y" – 2y + 1 = (x + 1)e²x

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Q: + 12du = 0, t> 0 with u(x, 0) = f(x), 0 < x < 1. Determine the characteristics and sketch them.…

A: Given: The given partial differential equation 3∂u∂t+t2∂u∂x=0 with  u(x,0)=f(x),0&lt;x&lt;1.

Q: Solve 5 2 E #(0) = – 2, y(0) = = 10 | Ly' - 29 - x(t) = %3D y(t) =

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Q: ACTIVITY 3 manner. Direction: solve and analyze each of the following problem in neat and orderu…

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Q: : Solve-Using D-operator dy dx + 3y – 5x - e-t = 0 dt %3D dt dx dy 2- dt +x +y-3 = 0 dt

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Q: (b) Classify the equation t - 2ty +2y =t, t> 0. What order is it? Is it linear or nonlinear? Is it…

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Q: 2. Determine the general solution of y(") = x- 2y cot (2x)

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Q: dy Va2-x2 with initial condition y(a) = 0. dx -a va2-t2 dt This can be solved by y = J %3D II

A: From the above question, we get the differential equation dydx=-a2-x2x with the initial condition…

Q: (c) Suppose that two of the pipes become blocked so that x3 = 0 and x1 = 0. Determine the flow rates…

A: Topic - flow diagram

Q: Solve: x" -x+ 5 y'= t y" - 4y - 2 x' = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

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Q: -B-2-1 -2 -3- -8- 16+ hich equation best represents the linear functi Oy=-5x + % Dy= -5x+ 3 Dy= % x…

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