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: (a)((x+1)² – y²)ª– (2(x+1)y – 10(x+1)²) = 0 dx

A:

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

A:

Q: 3. y=√√2x (x²-2), y'=?

A: We have to find the derivatives.

Q: 4x y" - 5y + 4y = ¹, y(0) = 0, y'(0) = 10/3 e

A: Please find attachment

Q: solve using method of undetermined coefficients 2y'+4y=3cos(2t), y(0)=0

A:

Q: Find the general solution of x(x + 3)dy = 2dy + √(9- y²)(12x + 9 + 4x²) dx.

A: We will separate variables and then will integrate it to find general solution of given differential…

Q: y = e"(1 – y²), y(0) =

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

Q: X1 - x2 +1 = 0) 1. Solve : x,? + x,² = 4 } with seed values x1(0) = 0.8 and x2(0) = 1.8. Compute up…

A: x1 - x2 + 1 = 0  =>  x1 = x2 - 1  x12 + x22 = 4 =>  x2 = (4 - x12)1/2    x1(0) = 0.8, x2(0) =…

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

A:

Q: 1. Solve y"+8y'+16y= 4e ||

A:

Q: Find y' and y". y' y" 11 = y = ( 2 + √x) ³ 3

A:

Q: 2- y'" + 7.5y" + 14. 25y' – 9.125y = 0, y(0) = 10.05, y'(0) = -54.975, y"(0) = 257.5125 %3D %3D…

A: As per answering guidelines of Bartleby I am supposed to answer only first question. If you want…

Q: (c) xy' + 4y = 3x², y(2) = 4

A:

Q: titution: 4 11 8 }]ÿ. y(0) = [¯²]. etermined coefficients: 12 -1 · [¹² −¹5]y+[e²].

A:

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

A:

Q: Solve: x'y'- 2xy = 3y¹, y(1) =

A:

Q: Solve: y""-4y"-11y+30y = 0 y(0) = 8, y'(0) = 10, y"(0) = 110 y(t) =

A: y'''-4y'' -11y' +30 y=0y(0)=8y'(0)=10y''(0)=110now we have to find out y(t)

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

A:

Q: 2. Use the variation of parameters to solve: y" -2y" + y' = 4e*.

A:

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

A:

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

A: Use Bernoulli equation to solve

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

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

Q: A virus is believed to be spreading through a sheep farm according to that equation N = 450 (11 +…

A:

Q: Solve: y"-6y'+8y= 24t – 58 y(0) = −11, y'(0) = −13 y(t) =

A:

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…

A: