y"-y' – 6y = 3x? x – 1 - -

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

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Q: Q2: - If y = 3 sec3t and x = etan3t prove that: - dy (In3)² ,Y logy x %3D dx

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Q: (1) x² + 3xy+y? = 4 (2) -=y² +1 x-y

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Q: Find the differential dy. y = 6x7 + 3x2

A: Given:y=6x7+3x2

Q: Can i get help step by step please

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Q: Compute dy and Ay for y =-4x – 3 at x = -1 with Ar = dx= -0.06. Give your answers to four decimal…

A: Given data: fx=y=-4x2-3, x=-1 and ∆x=dx=-0.06 We know that ∆y=fx+∆x-fx Substitute the values in…

Q: Q3) Find dy/dx if 1- y= In x 2- y=x sinx+1-x

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Q: If z = +3y, find the differential dz. dz =

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Q: 2 max f (2х + и)dte dx - 5 — и?, x (0) 3D1,x(2) freet dt

A: Given: maxf=∫02(2x+u)dt dxdt=5-u2,     x(0)=1,      x(2).free

Q: dy by implicit differentiation if dx 3 9. = 1. Find - -

A: The given function is 3y+9x=1

Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

Q: Determine the anti-derivative of Y = 2e3x +5 and use the fact that y(0) = 7 to %3D dx determine c,…

A: We first separate the variables and then integrate  c= integrating constant Formula used:

Q: 5. sinx+ cosh2y = 0. dy 6. /2xy -= 0. dy y

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Q: Let y=5x^2Find the change in y, Δy when x=3 and Δx=0.2Find the differential dy when x=3 and dx=0.2

A: To find the following parts. 1.)find the change in y (∆y), when x=3 and ∆x=0.2. 2.)find the…

Q: Solve for y at x=2: (x5 + 3y) dx - x dy=0; x=1, y=2

A: Rewrite the differential equation in standard form and solve it

Q: 2- X %3D +2 3- Coshx dy +(y sinh x+e) dxo 36

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Q: 11. Find the length of the curve x = on the interval [2, 4] (integrate with respect to y) 12y3

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Q: dy Find at x = dt – 4 if y = dx - 2x2 + 3 and dt 2. - - dy dt ||

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Q: 4. FIND d²y BY IMPLICIT DIFFERENTIATION: x² + y² = 81 %3D dx2

A: Given: x2+y2=81

Q: If y = 4x³ + 2x² + 11, find the approximate value of y when x = 2.01, using differentials.

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Q: (3) Integrate using an appropriate substitution 2e- -d.xc e + 3 x-

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Q: The general antiderivative determined by - x² - 3x +2 is dx

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Q: √2xy dy/dx =1, given y=1 when x=1

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Q: 3. f(x,y) tanx - sec²x - cosy

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Q: Find the differential d5y of the function y=lnx2.

A: y = lnx2 = 2lnx

Q: Find the differential dz of the function f(x, y) = 4y² + x²y-2xy and use it to approximate Az at…

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Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

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Q: Find dy/dx by implicity differation.

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Q: dz Find dz -3 and of z = x³ In(1 + xy). dy

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Q: 2- Find of y = dy dx y %3D /cos-1(In (xy))

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Q: Find the differential dy. y = cubic root of 3x^2

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Q: Find the differential dy for y = xV1-x. Do not simplify your answer.

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Q: 2sin(y)cos(y) sint(y)+costy) dy

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Q: Q2. Solve yfrcos (4) + ysin (2)] dx – x [ysin (2) – xcos (2)] dy = 0

A: Here we have to solve the above differential equation  by first checking whether the function is…

Q: find the differential dy if y= sqrt(2x^5-3x

A: Given query is to find the differential of the expression.

Q: dy Exc:" of y = tanh (x5 – 5x)² --

A: Solution:Given         y=tanh4(x5-5x)2  To find dydxFormula:ddx(xn)=nxn-1ddx(tanh x)=sech2x

Q: d?x 2 dt2 dx - 5- dt 3x = -9t2 – 1 - %3| - - dx When t = 0, x = 1, = 0, find x when t = 2 %3D - dy

A: The given differential equation is 2d2xdt2-5dxdt-3x=-9t2-1                   (1) to find x(2) with…

Q: dy 1- cosh x dx + (sinh x)y = e-x - 2 dy 2- - y = e*/2y3 dx

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Q: 3. f sin³y(2-3cosy)² dy

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Q: Find the differential dy when x = 3 and dx = 0.2 %3D

A: When you get function of function form to differentiate, we use the chain rule. y = f(g(x)) dy/dx =…

Q: Intergrate dy (2y-x) =In Co)

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Q: Solve using variaton of parameters or recuction of order (D²-2D+1)y = e" (e*+)²

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Q: tion of the separable equation dy 23 3 +2)³ + 2)?

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Q: tion to (1+ x²) dy + 2xy = 4 that satisfies the initial condition y(0) = 0. dx %3D %3D

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Q: dy 3 (49-y²) 2

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Q: sin(3z+z²) Find y' for y = (6 – 2*)3

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Q: dy for y = dx 9t -dt. 9t + 1 iz's rule to find

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Q: Approximate Ay using differentials for y = x2 - 4x at x = 6 when Ax dx = 0.03.

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Q: Find the differential dy. y =  x + 8 7x − 1

A: Assuming that y is given as: