7. J (x2+1)2 8. S (1-x2)1/2

Q: ;y(0) = 1 form of yp to solve

A: As per the bartleby guidelines for more than one part only one has to be solved .Please upload the…

Q: Ⓒ Solve зик subject to + 2x x = 0 u(x,0) = in Rx [0,00) n(x)

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Q: 7. Find the solution of the DE: (D? + 9)y = x+e2 using method of undetermined coefficients.

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Q: -x+y=11 5x-6y=2 solve by elimination but start with eliminating the x terms first. show all work

A: -x+y=11    →15x-6y=2      →2 Now, 5×Equation 1+Equation…

Q: Use Variation of Parameters to solve the DE y′′ − 4y = e^(2x)/x

A: Y" -4y =0 D2 -4 =0 D =2,-2 Y = c1e2x + c2e-2x Now find  W = (e2xe-2x2e2x-2e-2x|…

Q: Determine the general solution of  3(3x²+y²)dx - 2xydy=0

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Q: 13. Solve the DE t°y" – 3ty + 4y = 0,t > 0

A: Given differential equation is  t2y''-3ty'+4y=0

Q: S¹₁₁ S1+₂x² x + 2y dy dx ·12x²

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Q: -2t x" +6x' +5x = 10t + 30e 2", x(0) = 2, x'(0) = 8 Solve the IVP and find x(0.25) to at least four…

A: Concept Used:- If roots of characteristics equation is a, b where a≠b, real then general solution is…

Q: Q5) Solvex+2xy = 3 by using Euler's method to find he approximate solution up to X-2.9 when h = 0.5…

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Q: Proivde general solution of the given ay'' + by' + cy = 0 and b^2 - 4ac > 0

A: ay'' + by' + cy = 0 and b2 - 4ac > 0 We need to provide the general solution of the given…

Q: Solve (x² + 4)y' = 2xy In|x] = In(y? + 4) +C O Option 1 Inlyl = In(x² + 4) +C

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Q: (2) Find the value of m so that y = emz is a solution for z'y"-y = 0.

A: Given that the differential equation x2y" - y = 0 has a solution of y = emx To find out the  value…

Q: Determine the interval of validity for the solution of the following IVP without solving it. (t2…

A: Given: t2-9y'+2y=ln20-4t, y4=-3 To Determine: Determine the interval of validity for the solutions…

Q: Find a particular solution of (8) y′′′−4y′=t+3cost+e−2t.

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Q: Find the general Solution for Ive Coeffcent? using method of undetermined y'0) =4

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Q: Obtain the general solution: 1. (D² + 25)y = -50 sin 5x

A: First we will find the complementary solution corresponding to the homogeneous part of the…

Q: Q2. If the solution of the below first order D.E is y = Cefxy) (x + xy?)y' = y3 Find the f(x, y).

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Q: 13. Solve the DE t'y" – 3ty' + 4y = 0, t > 0

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Q: 3x²ydx – (x³ + 2y*)dy= 0

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Q: Solve the following DE using variation of parameters (D2−1)y=ex+1

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Q: You are given that so(x)=e" – 0.001z² for x > 0 Calculate 5|15q65

A: Given that, s0x=e-0.001x2  for x≥0

Q: Solve the following using variable separable. (y’)2 =  1 − y2/1 − x2         ;         y = 1/2, x…

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Q: Given x(t) as shown

A: Given, x(t) as shown :

Q: Solve for for the equation y = aln(x + )+ 4tan(;)– 2x O a. T O b. In(4 + x) O c. none of these O d.…

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Q: Using the method of undetermined coefficients, write the form of the assumed particular solution for…

A: Given: y"+2y'+y=x2e-x Auxiliary equation are,  m2+2m+1=0 (m+1)2=0 m=-1,-1

Q: x+3x - 2 If the integral of (x3/2+ Mx /2 – Nx-1/2) + C, what is M and N? dx is M= N=

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Q: 43. Using the method of undetermined coefficients, write the form of the assumed particular solution…

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Q: Solve the following problem. n = 31 i= 0.037 PMT = $264 PV = ? PV =$__ (Round to two decimal…

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Q: Solve the following problem. n = 25; i = 0.039; PMT = $292; PV ? PV $ (Round to two decimal places.)

A: Formula:

Q: 2) y-Sy=-5xy* Type:? find general solution. 3

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Q: solve the following D.E ,t<3 y" – 3y - 4y =- , y(0) = 0, y'(0) = 0 : ,t23

A: Here we will use Laplace transform method to solve the given differential equation.

Q: Q1: Find the general solution of the following first order D.Es? (Answer two only) CELE MAI ) c)…

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Q: find the solution  x2y"+xy'+x2y=0, Assuming y(x)= sum n=0 to inf. anxn Solve correct answer do…

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Q: 4. Let X e R"×m Show that XTX > 0. nx

A: Note: Since we are not allowed to provide you a handwritten solution, we have provided you a typed…

Q: Solve for the value(s) of x: /=15 – 2x = v2x + 21 (show steps on paper and upload it to last…

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Q: Q2. Test for exactness and solve (4x³y3- 2xy)dx + (3x*y² – x2) dy = 0

A: Topic- solution of differential equations in exact form . Note:- as per our guideline more than one…

Q: Solve the following problem. n=26; /= 0.042; PMT= $297; PV = ? (Round to two decimal places.) PV = $

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Q: Obtain the general solution: 1. (D² +25)y = -50 sin 5x

A: Using method of linear differential equations with constant coefficient.

Q: Q3M) Given the IVP x²y' +2xy = cosh x, y(1)=0: a) Determine the explicit solution by providing and…

A: Since we only answer one(first) of the multiple question from the given multiple no. of question.…

Q: Find the eror in the work, then correct the mistake and find the correct answer Step Equation nol…

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Q: 3-x If j- dx = x(x – 1)(x +2) +. x+2 When A, B, and C are solved, what is the value of their sum or…

A: Given ∫3−xxx−1x+2dx=∫Ax+Bx−1+Cx+2dx.....1 We have to find the value of A+B+C. Take partial fraction…

Q: S'z xdx (1+x)*

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Q: 8. Solve for x and find value of SU. 10 U. V. D 4 T. 3x +15

A: Given data: UT=4, US=3x+15, UV=10 and UD=x+6 If chords TS and VD intersect externally at point, U…

Q: x 211 26 (6) Solvei (D²76y ++8) y=x+2²n + sinhn

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Q: Solve for x. Leave answers in exact values. a) In(e**) = 25 b) 20 = 4e-2x c) eln(ax) = In e %3D

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Q: 1. a)For what interval(s) is h(x) = 2x + 10 positive? b) For what interval(s) is h(x) = 2x + 10…

A: Given 1. h(x)=2x+10 and 2. y=-x2+36

Q: From the particular solution of the DE y" + 2y' + y = x at x = 0, y = - 2,  y' = 2, obtain the value…

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Q: 5 In(3x) dx 5ln (3x) +C 12. 4

A: