Find the general solution of this ODE: d'y dy + 4- + 4y = - 7t + 5 dt? dt The solution will be of the form: y(t) = Cy1 (t) + Dy2(t) + yp(t) so use C and D as the arbitrary constants. y(t) =

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A: The solution is given as

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A: The given equation is f(x,y,z,w)=x2+52y2+3z2+w2+3xy+6xz+5xw+4yz+2yw+5x-3y+6w. The partial is…

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A: According to our guideline we are supposed to asnwer only first asked question.kindly repost other…

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Q: Use undetermined coefficients to find the particular solution to y'' – 7y' + 10y = 3e-2t Y(t) =

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Q: Write the truth table for P ˅(Q ˅ R) ↔ (Q ˅ (P →(R ˄ R))) ↔(Q ˅ ┐R)

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A: The graph of the function f(x) is the collection of ordered pair of points (x,y) in the cartesian…

Q: QUESTION 2 The following differential equation is considered. (y cos x+e*)dx +(sin x+ y' ) dy = 0…

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Q: H13. estimate intervals to the approximate the Minimam number of Sub Velue of (ax 4) dx with an…

A: (a) We have fx = 2x2+4 then f'(x) = 4x, and f''(x) = 4 Note: We have second degree function.

Q: Question 7 Find the solution. (D² - 2D - 3)y = 0; when x = 0, y = 0, y'= 4 - 3x – e 2x A y = - „3x…

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Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 (A -e "cos3t 3 1 B -e -'sin9t 3 3r -e"cost D -e…

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Q: Let A be a subset of a topological space X. Show that bd(A) = Ø iff A is open and closed in X. %3D

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Q: Which of the following is the general solution to the differential equation dx %3D 2 (3х + у)2 — 1?…

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Q: 2s +3 Find the Inverse Laplace Transform of (s+4)3 A e(2cos21 + – sin2t) B e-2' (cos2t+ sin21)…

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A: f(x) = tan-1x2+x-6 then f'(x) = 2x+11+x2+x-62

Q: Find the laplace of each f(t) 5. 2t'e 4t

A: Solution

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Q: For each of the following relations ~ on sets X, determine whether it is reflexive, symmetric or…

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Q: ash” so that neither the

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Q: You are given: (i) H; 1 for 0 Sx <110. 110-x (ii) 8= 0.05

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Q: Integrate f(x) from x = 0 to 10 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000 + 24583x –…

A: Gauss's three-point formula to evaluate the integral I=∫abfxdx is: I=b-a2w1fx1+w2fx2+w3fx3 Here we…

Q: ssint, 0<t < TI 0, t2 Tt , y(0) = 0 y'(0) = 0 5. Find the solution of the IVP y"+ y' +y : %3D

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Q: .Use the Monotone Convergence Theorem to show that the (2n)! {a)" is convergent.

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Q: Find the solution. y-y = -xyl/2 y =(x+2+ce½,? B y = (x+2-ce/½,? © y = (3r - 2+ ce/½,? = (3x –…

A: The given differential equation is ,       y' - y =  - x y(1/2)  Bernoulli equations :  An equation…

Q: -x2 +y ar 49 xy plane: y? x 25 y? plane: y? as 49 2.

A: To sketch the graph of: -x29+y225-z249=1.

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Q: Find the Linearizat ion of Non lineah Relations hip Y= (ax+

A: This is the problem of linearization, application of differential calculus.

Q: 1. Linear equation of order one: dy-(r' -2xy dx =0

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

Q: Find the solution. d³x d?x dx -2-=0 di + di A y =c,e+c y = c+ O y = c,+cc'+ce2

A: Given differential equation is d3xdt3 + d2xdt2 - 2dxdt = 0

Q: Find the inverse Laplace of the following: (8 1.

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

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Q: Solve the following differential equation, (s x)+(cos x) y = 3 sin x with the initi al dx condition…

A: Given differential equation is (sin x)dydx + (cos x)y = 3sin x

Q: Let u = (-5,-2, 4), v = (3,6,-5) and w (-7,1,-8). (a) Calculate (u x v). w and hence find the volume…

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Q: Find the distance between m [-2, 3, 2,0,3, – 13, –5] and n = [4, –1,1, –5, 0, 11, –3].

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Q: Show that the lines L:a =4- t, y = 2t, z =1+t and L2:2 =1+ 21, y = 3 – 4t, z = 5 – 2t are parallel…

A: This is a problem of 3D analytical geometry and application of calculus, vector calculus.

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Q: Find the solution. (D3 +7D2 + 19D + 13)y =0; when x =0, y=0, y' =2, y"=-12 (A y = e*cosx B y =…

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