Question 6 If y=ax², then y' is equal to 2a A 3y2 2ax 3y2 None ax 3y2 2x 3y2

Q: Question 21 If y- 2x+6x and - 6, find dy when x 5. dt Select the correct answer. none of these 928…

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Q: Question 1 : Use Runge – Kutta's method of order four to find an approximate value of y for x = 0.2…

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

Q: 6. y" + 3y'-2y e-2* [(4+20.x) cos 3x+ (26-32x) sin 3x]

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Q: QUESTION NO 2: Differentiate the following (a)Y=6x?-sec-1 5x (b)Y=2cos(x)+6cos-1 OS

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Q: Question 19 Find the solution. y3 y (0) = 1 dy dx 1-2xy2 A yx²– In lxl=0 B -xy²+ In Ixl=0 © 2ry2+ In…

A: Given differential equation is dydx=y31−2xy2......1 and y0=1. We have to find the solution of the…

Q: Question 1. Solve the initial value problem #+ (3+) v- 2. dy y = M(1) = dr

A: The given problem is to solve the linear differential equation with given initial values.

Q: Question No.2 Find the general solution of dy xy =1+y?

A: It is an important part of statistics. It is widely used.

Q: Question 3 1 pts Evaluate 2x y+-3(zy) given a = 10 and y = -5

A: Answer is 155.

Q: zy" +y - 2y - 0, k- 4, zo - 1.

A: Note: The coefficient of the third and 4th power of (x-1) is incorrect in the given answer. We are…

Q: Question 2: Given (E1): y(x – 5)dx – x²dy = 0,with y(1) = 1. The solution of the following IVP (E1),…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Question 7 10 fx)dx into To use Gauss quadrature formula we have to convert 2.5/2.5+7.5x) dx 7.5…

A: Given: The integral  ∫510f(x) dx

Q: Question 3: A) Solve the separable equation: dy xe2x-3y. dx %3D B) Solve the initial value problem:…

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Q: Question 2 Determine the general solution. x (dy/dx) = 2 - 4x^3. O y=lnx-(1/3) x^2 + c Oy=2…

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Q: Question 2 Find the general solution of y" + xy' – y = 1 using variation of parameter with y1 = x

A: Consider the given equation: Here, y'' + xy' -y = 1        ......(1)

Q: a) z=cos² (3 xy) onde x=p+eº ey=p²-2e³8 b) z=4x³y onde x=3p²+0² e y=p²-40²

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Q: Question 8 Z=8x+12y subject to 4x+6y214, 4x+5y29, x>0, y20 y=? (2 decimal places) Minimize

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Q: Question 9 x² – 4 Evaluate: V A =Vx² - 4 – 2 sec-+ c =V x2 – 4 + sec¯ + C = 2/x? – 4 + sec + C D x2…

A: The integration of the integral is sqrt(x2-4)/x.

Q: Question 3 (A): Solve the initial value problem dy sin x *+ (cos x)y = 0, y(÷)=- = -2.

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: What is the solution to the following special cases? You must apply the appropriate method after…

A: Since you have posted multiple questions..according to company rule we are supposed to give solution…

Q: Question 2. Find the general solution of the following ODE: y" – 4y' + 4y : I > 0.

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Q: Problem 7. (1 point) Find a solution to A(t) = dt 9A if A(0) = 3. help (fo

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Q: Question 9 19. Se3z tanh(e3) In cosh(e³²)dz a. 1/6 (In cosh (e"))² +c c. 1/3 (In cosh (e))² +c b.…

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Q: Question 28 F(x) = | " dt is equal to 65612 You Answered None of the given choices Correct Answer O…

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Q: Test for exactness then solve. (6x + y2)dx + y(2x − 3y)dy = 0

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Q: Question 2 Find the solution to the Bernoulli Equation. (3siny - 5x) dx + 2x²cotydy=0

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Q: page 6 dy = 4y sin2x, y(0) = 1. Give answer as an explicit function y=f(x). dx 6. Solve the…

A: The differential equation of the form dydx=f(x)g(y) is variable separable form. To solve this type…

Q: Question 4 く Solve the boundary-value problem y'' – 4y' + 4y = 0 y(0) = 3 y(1) = 0 - Use x as your…

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Q: QUESTION 3 Suppose that z= xy, where x=2t+4 and y=s+3t. Find Oz at the point (s.t) = (5, - 1) at Oa…

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Q: 1. 3 0 S 0-2 (x²y - 2xy)dydx

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Q: &. y = -2 co0(2 -) 7. y = -3 sin 2r + 9. y = 4 sin ( mX 11. y = 3 cos ( TX 2) + 5 12. y = 2 cos (2nx…

A: I have provided solution in step2.

Q: What is a suitable integrating factor that can be used to solve the equation: X +2у — 4ху - е *cos…

A: topic - integrating factor for differential equation

Q: Question 11 of 20 2 Po Solve (2x-y)dx + (x-1)dy=0 Select the correct response: NONE y+2 In a+ 1+ + C…

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Q: Question 001: Complete the following question involving Substitution Method. Given the integral 2x +…

A: Given:∫e2x+7dx

Q: Solve the initial value problem y" + 2y" – y – 2y = 10 sin(x) with y(0) = 1, y'(0) = -2, y" (0) = -1…

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Q: 1. [5an2f elan 28 sec² 2 Båß 3. e +1 2x e2x +2e* dx e* +1 4. |(30shm +ecoshm' 2.

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Q: Question 2 Differentiate y= (3 cos x – 2 sin (2r))² A y' = [-6 cos x + 4 sin (2x)][8 cos (2x) + 6…

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Q: Question 6 Solve the initial value problem e* (x²y² + 4x³y² + 1) dx + (2x¹ ye* + 2y) dy = 0, y(0) =…

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Q: Question 4 4 Solve the first order auation (32y +2zy)dz +(x+2y) dy =0.

A: Solution

Q: Question 5 of 8 Determine the particular solution: y"+y'+ 2y = 0, y(0) =0, y'(0) = 0 Select the…

A: We have to find out

Q: and (2) and (3) of this section. dy = f(x, y) dx Solve: (2) Subject to: y(x) = Yo d?y - f(x, y, y')…

A: we have differential equation: dydx=fx and d2ydx2=fx Now,  y''=12x-2 Integrating both sides…

Q: Example 2. Solve DE shown below. dy +2y =12 sin 4t dt y(0) = 10

A: We have to solve the given differential equation.

Q: Question 3: A) Solve the separable equation: dy = xe2x-3y. %3D dx B) Solve the initial value…

A: Explanation of the solution is given below...

Q: Suppose JD = 2x + 3y, DV = 7 - y, VN = 9x - 2y, and JN = 32. Solve for x.

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Q: Question 3: A) Solve the separable equation: dy = xe2x-3y dx B) Solve the initial value problem: dy…

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Q: 2. [ (1–3x)sin(}x)dx 4w dw 3. [* w°e™ dw w²e* -1

A: This question is taken from the definite integral in which we have to find the integral of the given…

Q: Problem 3 Using Variable Separable, solve x² (y + 1) dx + y² (x - 1) dy = 0

A: Given differential equation is x2(y+1)dx + y2(x-1)dy = 0

Q: Question 1: Find the general solution of IVP dy. 2x dx 1+x- y(1)= 0. 1+x2

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Q: 16y" + 8y' + y = x + 6

A: The solution of the differential equation is defined as the function that satisfies the equation.…

Q: Question 2  Solve this Bernoulli's Equation

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Q: QUESTION 5 Find the 2nd solution by reduction of order. y" - 4y +4y=0; y₁ = e²x

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