3. Calculate y" and y' at x =1 using the 2nd order method for the following system; y"= 2xy'+x'y +5x +1 y (0) = 5. y'(0)=0 . y"(0)=10

Q: Find y'. y = (4x° + 9) (2x7 - 4) OA. O A. 80x° + 126x° – 48x O B. 16x° + 126x° – 48x? O C. 16x° +…

A: y = 4x3 + 92x7- 4y' = ?

Q: Find y as a function of a if y(0)2, y'(0) = 3, "(0) = -13. y(x) = y″ − 4y″ − y′ + 4y = 0,

A: Given a differential equation:initial conditions are:

Q: y = V In(5x + 7)

A: In this question, we use the chain rule to find the derivative of the function .

Q: Find y' and y". In(7x) y = x7 y' = y" %3D

A: The given function is: y=ln(7x)x7 Therefore, y'=1x7ddx(ln(7x))+ln(7x)ddx1x7    =1x717x·7+ln(7x)-7x8…

Q: Find y as a function of x if y(1) = 1, y'(1) = 4. y = x²y"-7xy' + 16y=x6,

A:

Q: ← 1. y' = y + 2x 2. y = 2 - xy 3. y = xy + y 4. y = y - 2x

A: the differential equation and direction held are matched belowA.......4B.......1C.......3D.......2

Q: CALCULATE USING A HOMOGENOUS EQUATION. GIVE THE GENERAL AND PARTICULAR SOLUTION. SOLVE NUMBER 3 THE…

A:

Q: Find y as a function of x if x'y" + 5xy' + 4y = 0, y(1) = 9, y'(1) = -2. y =

A: Solution :-

Q: Find y'. x3 +yở = 8£y

A:

Q: 1. Find y' by implicit differėntiation. xy + 4x + 5x² = 3 %3D Select the correct answer: a. y':…

A: In implicit differentiation write y' interns of x & y.

Q: Find y'. y = V In(7x + 5) y' =

A: Given the function y=ln(7x+5)         ........(1)

Q: If t²y" – ty – y = 0 ,y(1) = 3 and y'(1) = -1, then y(4) = . . . %3D

A: Given differential equation, t2y''-12ty'-y=0,y1=3,y'1=-1 Find the value of y4.

Q: 2xy y' 2 =x-2 x-4 4.

A: Given y'-2xyx2-4=x-2

Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

A:

Q: Find y' if x = y*. C Note: Leave your answer in terms of ï and y. y

A:

Q: Solve for y: y'=7y²², y = 3 when x = 1

A:

Q: Find y as a function of a if y(0) = 19, y'(0) = 26, y" (0) = 14. y(x) = y"" - 10y" + 21y' = 48e²,

A:

Q: Find y as a function of a if y(1) = -4, y'(1) = -9. y x²y" + 2xy' - 6y = 0,

A:

Q: Find y' for (ry)”/” – 64 at the point (4,4). (wy)³/2 C At (4, 4), g' DE

A:

Q: Find y' for y = 7x-3+ 5x - 1

A:

Q: Find y' if y = In(9x² + 5y²). y' = X

A: The given data is: y=ln(9x2+5y2)  Find y'

Q: Find y as a function of a if y(1) = 8, y'(1) = 6. y = x²y" + 3xy' - 35y = 0,

A:

Q: Find y as a function of a if y(0) = 6, y'(0) = 24, y"(0) = 108. y" + 36y' = 0,

A: y′′′+36y′=0y(0)=6,y′(0)=24,y′′(0)=108.The characteristic equation…

Q: Find y' for y = 9x-6 + 7x¯1. y' =O

A: Given: y=9x-6+7x-1

Q: 6.Given y'a = -2x³ + 12x² 20x + 8.5, y(0)=1, h=0.5 find y(2) using the 2nd-degree RK - a. 3.37500 b.…

A:

Q: 9. Find y' if y – x²y = x³

A:

Q: Find the solution for this second ODE y(0) = 1, y'(0) = 1

A:

Q: olve for y' 1. xy'-y=1-y'

A: Given xy'-y=1-y'Now lets take y to RHS and y' to LHS (Left Hand side)⇒xy'+y'=y+1Lets take y' common…

Q: Find y as a function of if y(0) = 19, y'(0) = 19, y"(0) = 4, y"(0) = 0. y(x) = y(4) 4y" + 4y = 0,

A: y(4)−4y′′′+4y′′=0y(0)=19,y′(0)=19,y′′(0)=4,y′′′(0)=0

Q: 2. (x2) y = y+2(x2)

A: Topic = Differential equation

Q: Find y as a function of a if y(0) = -2, (0) = 9, '(0) = -62. y(x) = y" - 4y" -y + 4y = 0,

A: Given that y''' -4y'' - y' + 4y = 0 ,   y(0) = - 2 y(0) = 9 '(0) = -62.

Q: - 1 Find y' for y=7x7 + 9x¯ y' =

A:

Q: Find y as a function of x if y" + 16y' = 0, y(0) = 0, y'(0) = 4, y'(0) = -32. y(x) =

A:

Q: find y as a function of x if y'" + 81y' - = 0 where y(0) = 1, y'(0) = 81, y"(0) = 324

A:

Q: Find y as a function of a if y" - 3y" y + 3y = 0, y(0) = -7, y' (0) = -4, y" (0) = 9. y(x) =

A:

Q: If y = (3x+8)x, compute y'(1). y'(1) = X

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

Q: Find y as a function of if y(0) = 2, y'(0) = 9, y'(0) = -58. y(x) = y"-4"-y + 4y = 0,

A: We are given the homogeneous differential equation: y"'-4y"-y'+4y=0 and y(0)=2, y'(0)=9,y"(0)= -58.