6. Find the y" + y = sec³ x; y(0) = 1, y'(0) = 1. -√2 value (7) for a solution (x) to the initial value problem: √2 2√2

Q: he (4x' +6xy' )dx + (9x’y' +3)dy = 0 equation ² - 3x²y' +3y =e - Solve the so *+ 3x°y +3y=e -t…

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Q: _y"+y' = 0

A: To find the complete solution for the differential equation  using reduction and then the First…

Q: y = e"(1 – y²), y(0) =

A: We will find out the required solution for given differential equation.

Q: Q7. Solve the Cauchy-Euler equation (i) 4.x²y" + 4.xy' – y = 0. (ii) 4x²y" + y = 0.

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Q: Given the initial condition y(0) = 1, find the particular solution of the equation yy' - 6x = 0

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Q: y y' + y? = x-2 X

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Q: Find y' and y". y': y" = y = (²+ √x) ³

A: SOLUTION-

Q: Q 2- use Newton-Raphson method to obtain a root of equation x'- 2x + 3x -5 = 0 %3D

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Q: p" +2y' – xy = 0 n(x)= e

A: Given

Q: Use the variation of parameters method to solve y" - 4y + 4y = x²

A:

Q: { 5) Solve the following IVP y' = t² ((1 + t³) y)−¹, y (0) = yo. of the solution. and find the…

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Q: uation: Solve the e * + 2xdy = 0. = x

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Q: a) L{te3t – sint + cost} =? 1 =? b) L-'s-2)(s2+25-5)

A: a) We have to find ℒte3t-sint+cost

Q: b. (1+y²)y" + xy' - 3y = cos x solve and show that this equation is non- linear and non-homogeneous.…

A: As per the question we have to use the solution of the given second order differential equation to…

Q: Differentiate y = 2sin? (x³) + 3x and evaluate y (0). Enter the value y (0) in the box and upload…

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Q: 5.Jf(x) =- 3x + 7 g(x) = 2x - 8 Find f(g(x))

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Q: Find the general solution to (t² + 4)y' + 2ty = t²(t² + 4). Enter your answer as y = .... Use C to…

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Q: Q2) Solve: y" - 5y' +6y=H(t-1), y(0) = 0, y'(0) = 1.

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Q: Find the general solution y = y(x) to the equation x > 0 and y > 0).

A: Use Bernoulli equation to solve

Q: Find: (D³ - 5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4; y" (0) = 17 1) 2) Roots of Auxiliary Equation…

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Q: fy" + (1 + 2 €) y ² - 2y = 0 > (1)

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Q: Solution: y1 = 1.450000000; y2= 2:085625000; y3 = 3:079099746

A: Here, initial condition is given at x = 2.Therefore, start with x0 = 2.Given equation is:

Q: Ex. (9) Sol:- Solve 3y"-2y'+y= 4x+2

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Q: a) y2 + (y-1)y' - y = 0,

A: According to guidelines we solve only one question. Thanku

Q: a. || 8 3)++ (-2) x+ t> 0

A:

Q: 5. Given: f (x) = ax³ – 9x² + 2x – 4 and g(x) = bx³ – 5x² + 62x + 70 | Solve for all values of a and…

A: We have to find

Q: Q3- Solve only one of the following: A- Find the approximate solution for the function y' x + y…

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Q: Solve the following initial value problems: (y + 2y - 3y = u(t-1)-u(t-3), y (0) = 0, y'(0) = -1.

A: The initial value problem is given as y''+2y'-3y=u(t-1)-u(t-3) with initial condition y(0)=0,…

Q: 3. h(x) = 6ln(x) = 4√x + 10x² find the equation for h'(x). 8 = (S)111# notesup

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Q: y'" If x² + y² = R² (R>0), then K Find K in terms of R. %3D V(1 + (y )² )³

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Q: Let y1 exp( 5 x) and y2 exp( 8 x) be two solutions for y" + by' + cy = 0. Find b and c. %3D The…

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