[1 1] в 3D [о 2 andD %3DA + B and d,z 3 1,d31 3 —2 then 2 х — 11 If A =|-3 y 4 1. х%3D1,у%3D -1 2. х%3D—1,у%3D 1 3. x = -2 ,y = 1 4. х%3D2, у 3 -1 1 2 О 3 4

Q: 2) Solve the following Dirichlet problem: Ux + Uyy = 0; D = {(x,y): x² + y² < 4} u = 2xy; ƏD = {(x,…

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Q: A form of a particular solution to = 2x + 3y-7 dt = -x - 2y +5 is dt O (a b)" O (7, 5)" O (2, y)" O…

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Q: 1. (a) Find the critical numbers for: y = V(22 – 4) -

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Q: dr = (t ) dr = (2, -1, 0) SF.dr 2 XYz1-X yJ +z°x K • <2,-1,07 SAXyZ +Xy dt 4 S4(2t)(-t)(1) +…

A: Yes answer is correct...

Q: Solve the boundry - Valued PDE 24 = 4 34 84 by ulory)=8e³y using the genral method ans: u(x,y) = 8 e…

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Q: 6 Solve the following Systems of ODES 3 zt t +2X + dt dy dt +6y =2 Anss -t zt t 2dk +3X +34+8y=1…

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Q: O vo) - 5y + 9y(4) + السؤال .8 The homogenous D. E. with constant coefficient of at least order…

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Q: (x-2)²(x³-4) y = Vx2+1 dy If then equals to : dx O y [2/(x-2)+(3x^2)/(x^3-4)-2x/(3x^2+3)] O…

A: The formulas which are used to solve the above problem are stated with the solution.

Q: Find the general solution of (xy + 4x)y = 5y² + 4xy². a) Oy + 12y- = -5 In |x| – 16x + C b) Oy - 4y-…

A: First order non linear ordinary differential equation.

Q: 8x + 4y 14 O non-homogeneous 5x + 7y = 6 O homogeneous 3x 5z homogeneous 3y + 2z Onon-homogeneous -…

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Q: - Let y (r) be the solution of the initial value problem y" – 2ry – 2y =0 y (0) = ao and y (0) = a1…

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Q: In +1- 2 dt, if we let V Vt+1-2, then dt is equal to t+1– 2, then dt is equal to A) None 4x³dx ©…

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Q: 3 (D2 + 4)y =- Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} °L{y} = 1 3. 3e 3s Se-3s 82+4 s(s2+4) s (s²…

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Q: Suppose that for a 2 x 2 matrix A, AŬ= 3õ for ū = How is the pair (3, v) called for a matrix A?…

A: given a matrix A of order 2×2 ,  Av→=3v→ for v→=-1-1 (a) how is the pair 3,v→ called for a matrix A…

Q: 2 + 4y = 2e* – 4e¯t, y(0) = 0 dt

A: The given differential equation is,  dydt+4y=2et-4e-t, y(0)=0

Q: Q1: There is a factory working to produce two pump types (X, Y), by using four parts ( A, B, C, and…

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Q: [S1] Yn = Yn-2 +0.5Y,-12 + 0.25Yn-14 + En – 0.25€,-12, S2 Yn = Yn-2 + 0.5Yn–12 – 0.25Y,-13 + En…

A: Given three timeseries models as S1   Yn=Yn-2+0.5Yn-12+0.25Yn-14+εn-0.25εn-12 S2…

Q: The following are three different methods for solving y (t) = f(t, y(t)): (A) Yn+1 = Yn + ¥ [S(tn,…

A: Given : three different methods for solving y't=ft,yt : A yn+1=yn+∆t2ftn,yn+ftn+∆t, yn+∆t ftn,ynB…

Q: (2t - 4 0st<2 (D2 – 1)y =- 12 %3D t22 y(0)=0, y'(O)=1 Find L{y} L (y) = F1) 4 2e-2s 2e-2s %3D -…

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Q: 2) The following system has a solutionby Jacobi's method 2x + 10y + z = 51 15x+ 3y – 2z = 85 x – 2y+…

A: True

Q: 8*) Consider the following nonlinear system of equations g(x, t) = f(x) – e-'f(x0) 0<t< 0, where…

A: Given non - linear system of equations is gx,t=fx-e-tfx0, 0≤t&lt;∞                  (i) Here,…

Q: /16–y² /32–2²-y² n[L 2² + y* + z®)dzdzdy in nvert 1²+y² •1/2 4/2 -/2 Jo п/2 " T p* sin ódpdődý •4/2…

A: from the integral limits are as  follows 0 ≤ x ≤ 16-y2 0 ≤ y ≤ 4  x2+y2 ≤ z ≤ 32-x2-y2

Q: 5y" – 10y' + 1y = 30sin(3t) with initial conditions y(0) = 1 and y'(0) = 5 Be sure to clearly define…

A: The given second order linear differential equation is 5y'' - 10y' +y = 30 sin(3t) with initial…

Q: number 20 on image attached

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Q: The solution of y" = 8(t – 1) – 6(t – 3), y(0) = y'(0) = 0 is y(t) = %3D (A) (t- 3)[u(t - 1) - u(t-…

A: Given y''=δt-1-δt-3, y0=y'0=0

Q: Solve dy 4y dx x(y - 3) By using the method of separable variables. 1- y - 3 Iny = 4 ln x + C Option…

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Q: In this case, system (1.8) is expressed as (af (Xn-1)+bf (*n-2)), Yn+1 = f (af (yn-1)+bf (yn-2)),…

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Q: In t+1-2 dt, if we let V Vt+1-2, then dt is equal to 4x(x²+ 2)dx B (4x³+2)dx None D 2(x²+2)dx E…

A: To find out the dt.

Q: 5- Given that y₁ (t) = t is the solution to: + 17/12 y = ( 0 Use the reduction of order method to…

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Q: Consider the initial value problem = , where -0 0. If u(x,0) = 2 and u (x, 0) = x + 5, then u(x, t)…

A: This is a wave problem and can be solved using D'Alambert's formula:…

Q: 1. Compute ¡ E px 2 ` y 2 ` z 2 q 1{2 dV , where E “ tpx, y, zq | x ď 0, y ď 0, z ě 0, 4 ď x 2 ` y 2…

A: Use the spherical coordinates to evaluate the integral as follows.

Q: 10. Solve: (2st +1 kds – 3s° dt = 0, s(-1)=1 a. 8st' = (s -t) – t)² c. 8st = (t – s) 3 а. 8st3 b.…

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Q: * السؤال .8 The homogenous D. E. with constant coefficient of at least order which has the solution…

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Q: The standard form of 3dy-xydx= 3y³e/3 by Bernoulli's ec 4x/3 dx 3 A dy ху = 3e**/3y3 dx 3 'x=…

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Q: 1 be the standard integrating factor to y' + p(x) y = q(x). If y, =7 x2+19 x+ 19 is one of its…

A: Given: The equation is: y'+pxy=qx The standard integrating factor is: μx=1x And, solution is…

Q: 4.8a + 6.5v – 12.65 = -13.9 %3D 5.2a – 3.6v + 4.7S = 6.8 -3.3a + 6.4v – 8.7S = 13.5 %3D Find the…

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Q: Part 2 of 5 Integrate both sides and use the power rule on the right side. 5+1 y = 48. + C 5+1 6 8 +…

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Q: D1.22 For the following systems with outputs y and inputs r, find the transfer functions: (a) drz…

A: Given (a) d2ydt2+3dydt+7y=6r1+5r2-4dr2dt2 (b) d2y1dt2+6dy1dt+2y1=drdt-3rdy2dt+6y2=4drdt (c)…

Q: 1. Find the particular solution of the DE: y' = (x^3) + e^(10x) + 7 if y = 20.1 when x - 0. You may…

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Q: 12. Obtain the general solution of (D4 + 16D² + 63)y = 0 a. y = c,cos v7x + c2sin /7x + c3 cos 3x +…

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Q: In this problem, y = 1/(1 + c,e) is a one-parameter family of solutions of the first-ord initial…

A: Given: y=11+c1e-x, y0=-17 For finding expression of y, first we find value of c1 Now, for finding…

Q: Find the general solution of the given ODE. * (x+y-1)dx - (x + y)dy = 0 x+y+ ln |2x + 2y - 1|= C…

A: The given ODE:x+y-1dx-x+ydy=0.We need to solve the above ODE.

Q: 2) Solve the following Dirichlet problem: Uxx + Uyy = 0; D = {(x, y): x² + y² < 4} = 2xy; ƏD =…

A: Given,Dirichlet problem uxx+uyy=0 in DBy substituting x=r cosθ  and y=r sinθ, we getBoundary value…

Q: If one was to use Euler's method to solve  u′(t)=−u(t)2,u(0)=1 and y′(t)=2−y(t),y(0)=1 for…

A: The slope of the tangent for u at 0 is: u'(t)=-2*1=-2,It is Negative. So, f is concave upwards, so…

Q: Chapter Four d'y df² and y'(0) = 3. 2. 9. dy 24 +16y=0, dt given y(0) = 3 y =(3-1) e3

A: We have to find the solution of given differential equation.

Q: 1] Use Gaussian Elimination Method. 7X + 5Y + 2Z = 10 = 5 0.7X0.4Y+0.9Z 5X + Y + 8Z = 8 -X+Y+Z =…

A: Guidlines note As per our company Guidelines we are supposed to answer only the first question.…

Q: 1-37+27= 0 ➜ 1 (1-1) (1-2)=0 1₁=0, A₂=1, d3=2 X 2X 21 Y₁₁(x) = C₁ + c₂e² +₂e² U₁1, U₁₂- and U₂=2² е…

A: Given.

Q: Solve the general solution of the given DE * dy = (-5x + y)² – 4 dx 3 (1+ ce6x ) 3 (1 – ce6*) y = 5x…

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Q: 2nd Case (IBVP Summary) 1.5uxx Ux(0, t) = 0, ux(6 ft, t) = 0, t> 0 (u(x,0) = 80°F, 0 0 1. Obtain…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.