L{y'(t)} = sY(s) – y(0) y" – 4y' = 6e" – 3e', y(0) = 1, y'(0) = -1 L{v"(t}} = s°Y(s) – s y(0)–y'(0)

Q: a particle moves along a curve y = (2x² + 5x)°, calculatey (0) and what is the interpretation of the…

A: Let us considre the function y=f(x) The derivative the function is denoted as dydx=f'(x) Derivative…

Q: d. yy'- y = 6 e*, y(0) = 1 %3D е. %3D %3D

A:

Q: #33 Find y' if YX- XT= 16

A: Given:- y√x -x√y = 16 To find:- y'

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A: Given:  y=lnx+5+x2   To find the value of y', y''.  The formula of ln x'=1x. The formula of…

Q: Find y' and y". y' = y" = y = √x In(x)

A: To find y' & y''   As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: y" - y' - 2y y(π/2) = 1, -8 cost-2 sint; y' (π/2) = 0

A:

Q: y" + y' -2y = 3 -6t. y(0) = -1. y'(0) = 0

A:

Q: Find f'(x) for the given f(x). (a) f(x) = x³ – 5/a + 9x¬4 f'(x) : 106 (b) f(x) = (2x + 1)0° (3x² –…

A:

Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

A:

Q: Find y' and y". 8e" Y = e8c* eSex y' = y" =

A:

Q: e" sin°(2x) (d) y = In 2x2 + 1

A:

Q: find y' (xy)x = e

A: Given problem:- find y'   (xy)x = e

Q: 8. Find y'if y = x³ +sin (x)

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

A:

Q: 16. y' = 2x - y, y(−1) = 1

A:

Q: Find y' for y = 9x-6 + 7x¯1. y' =O

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

Q: (tanx) y' = y, y(플) = 플 T

A: Given differential equation:- tanxy'=y

Q: Sketch the graph of y'=ly with y(0) = 1 yo

A: Given :

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A:

Q: 5y'' + y = 0 y(x) =

A: Consider the differential equation  5y''+y=0

Q: dy – y (xy' -1) .3 2.) dx

A:

Q: Find y' and y". y = In(x + V6 + x2) y' = y" =

A: we have to find derivative

Q: y'' - 15y' + 60y = e^x cos(16x

A:

Q: (1+x)y' + y = cosx; y(0) = 1

A:

Q: If x'y- xy' =2 find y and y" at x=1

A:

Q: y'(x) у(1) — 0

A:

Q: (d) If x y/1-y², find

A: Solving question1 for other question repost.

Q: Given the equation y = 5 In| 6y | Find the Implicit derivative " dy/dx" of the function. You will…

A: We can find the derivative as below.

Q: Find the PS for (x²y" + 2xy' - 12y = 0 y(1) = 1 y'(1) = −1

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

Q: Find y'(2)  y=ex2−ay=ex2−a where a=4

A:

Q: Find y' and y". y' y" = = y = e e²e²

A: The given function y=e2ex. We have to find the derivatives y' and y''.