Q2. Find |( ax b ) x clif a =i-2j +k, b=i+2j-4k, c=2i – 3j +k

Q: Q3) If f(x,y²) = x² + y² + vxy find : af (x²,y) and f(x²y) ax ду

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

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Q: Which of the following is a particular solution of the equation y"+y'+7y=4cos2x? O a.…

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Q: (b) ruz – 2yuy + u = eª , for x> 0

A: 1.(b) Given partial differential equation xux-2yuy+u=ex, for x>0 This can be written as…

Q: 11. Find the particular solution of 2ydx = 3xdy, when x -2, y = 1

A: Given : Differential equation :  2ydx = 3xdy And x = -2, y = 1   To find : Particular solution of…

Q: 25n Evaluating sec will yield to 6 V3 A 2 2/3 B 3/3 © - 2 V3 D 2.

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Q: Q3): If x fx + yfy = nf show that x²fxx + 2xyfxy + y² fyy = n(n – 1)f %3D

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Q: 1 If y = V1-x then y' = 2/1-x

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Q: 24. (х + а)у' %3D bx — пу; а, b, п are constants with n # 0, n # —1. ANS. n(n + 1)у — b(пх — а) +…

A: Given:- (x+a) y'=bx-ny;  a, b, n are constants  To find:-  General solution of given differential…

Q: Q3) If f(x, y²) = x² + y² + vxy find af(x².y) and (x²y) ax ду

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Q: Q.4 Solve Cauchy Euler DE x³y" + 4x²y" – 5xy' – 15y = x*

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Q: Q.4 Use the one sided Greens function to solve the I.VP. 1 12y"-6y=nt, 6 (0)=1/² y'(1) = y(1)=-

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

Q: Calculate y*)(0) for 0 < k < 5, where y = x* + ax³ + bx² + cx +d (with a, b, c, d the constants).

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Q: Q.6 Show that: X-1 X+ y – 1(x-1y)= B(x,y)

A: In the given problem we have to show that                                 x-1x+y-1β(x-1,y)=β(x,y)

Q: Bind/x(n) X(n) if XCZ) Z² (Z-1) (Z-0.5)' Z² N

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Q: 1. If (x and jy) = 3 + j8, find x and y. x = 2.40 and y = 1.67

A: According to policy we are allowed to do one question. Image is attached with solution.

Q: What is the solution (ry – r) dr + (x²y + y) dy = 0 when 2 and y = 1

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Q: 2t + 3 r(t) -, In(t² + 2) t2 +1

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Q: (b) k(x) = |æ| + |x – 1| at c1 = 0 and c2 = 1.

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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: Q1: 2ty 2t – (2 – In(t + 1)) y = 0 y (5) = 0 t2 +1

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Q: x3y5 Q3: Let x = 2 ± 0.005 ,y = 10 ± 0.01,z = 20 + 0.01 find u = %3D And fined the error ?

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Q: Q.2 a- If w=xy+ find y2 +1 a²w a²w and дхду дудх

A: Solution Part A  Given. w = xy+eyy2+1  We have to find ∂2w∂x∂y   and  ∂2w∂y∂x

Q: 3 Evaluate 2z (4 – a – y) dy dæ.

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Q: Q5/ find y', y=In(Inx) * O y'= 1/( x-2x)*(2x)=1 O y = 1/( x-2x)*(2x)=2 none of the above

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Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3)…

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Q: Мaximize 2 3 4х + 4y || 3x + 7y < 63 6x + 2y < 54 Subject to Маximum is at y = VI ALAL II

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Q: 2 Find z ax? 2 and ду?. ay ax 1. Z z = 3x y³ 4x* y?

A: Here I am attaching image so that you understand each and every step.

Q: Suppose that 4x² + 2y² = t² and y=tsin 0. Find ду (27) ət 0 and at ?x

A: The given equation is y=tsin θ. Consider sin θ is a constant term. Differentiate the equation y=tsin…

Q: 2- Show that: 2 J1(x) = (-1)m x2m+ (2m + 1)! m=0

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Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

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Q: 6y" – 7y' – 5y = 2x³ + e¯* – 5 -

A: Ordinary differential equation involves the derivative of single dependent and single independent…

Q: 4. The line 3x + 2y – 10 = 0 is perpendicular to Ax + By + 1 = 0. Find the possible values of A and…

A: Consider the set of simultaneous equations, 3x+2y-10=0………(1)Ax+By+1=0…………(2) Let m1 be the slope of…

Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

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Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x + 1)? Select the correct answer below: O In (3z² + 4æ +…

A: Given, rx=lnx3+2x2+3x+1

Q: 2. Find deri vative y T-2X y=3e6x %3D

A: Given,          y=3e6x+e1-2x

Q: is the minimnurm step of the horno gone ous n What X+ xt 2-X ifferential equatian with its solution…

A: The objective is to find y=x2e-x+x3+x2what is the minimum step of the homogenous differential…

Q: Determine c1 and c2 so that y(x) = c1 e^2x + c2 e^x + 2sin x will satisfy the conditions y(0) = 0…

A: NOTE: Refresh your page if you can't see any equations. . the given solution is…

Q: Q16 3 a) / 3²+ 2dt dt c) /,₁ (3-5)²

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Q: AJKL-AABC AKLR ATSR J. K (5y) 2x-4 24 21 64 K T. 24 5x-4 S. A. 64 6y- 12 14 50% 30 B R. 11. x = 13.…

A: The corresponding angles of a similar triangles are equal. The corresponding sides of two similar…

Q: Evaluate /, a Te dydx y2 2 JJ4X-x² 32 dydx (x²+y²)' V4x-x? O 4 In(v2 – 1) – 4+7y/2 3 4 In(v2 + 1) –…

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Q: Hiw.r provethat D2f +32f= y=o far the functionel xe -2y Coos 2X %3D

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Q: bah ow )o (d) be . Solve for 0<x <1, u"- u =-f(x) u' (0) = u' (1) = 0.

A: As f(x) is an arbitrary function, we will use Green's function to find the general solution.

Q: Q2) Solve the BVP utt = Uxx ux (0, t) = 0 u(x,0) = 0,_u₂(x,0) = f(x) = {100 00 01

A: Given: utt=uxx  0&lt;x&lt;∞,  t&gt;0 ux (0,t) = 0 u(x,0)=0    ut (x,0) = f(x) =1000&lt;x&lt;10…

Q: Verify that y = ODE y" + 3y' + 2y = 4x². -4e-x-2e-2x + 2x² - 6x +7 is a solution of the SHOW ALL…

A: We have to verify that y=-4e-x-2e-2x+2x2-6x+7 is a solution of the ordinary differential equation…

Q: O foxy) = senx + seny + Sen(xg) t1 %3D 2 fcxry) = xe y concet)t 8x

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Q: Q4. Find the values of the constants a, b, c so that - - F = (axy + bz³)i + (3x² − cz)j + (3xz² –…

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Q: Q3) Find fog(x), gof(x), D, D fog' gof x+2e f(x) = » g(x) = vx – 2 %3D 2

A: Solution:-