4- S" e-x* dx 5- Vy e-y² dy

Q: dx/dt = 2 and y=x^3, what is dy/dt when x=-4,2,6

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Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

Q: 1-X 1.S.S C14 X) dY dX (1-x) dy dx 1+X

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Q: Can i get help step by step please

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Q: In(x) 1. Evaluate -dx if possible. If not possible, explain why.

A: As we know that the integration by parts:- ∫udv=uv-∫vdu

Q: х2+1 dy 4) хеУ dy- *dx 5) х?у 3 (1 + х)Csc y y dx 6) хеУ dy + (*+1) dx =0 y

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Q: 2). 3rin y l dy dx [ 5 X In Xナ3

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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: 2 xy dy – (r' + 2y³) dx = 0 xsin 2 dy y sin- -x | dx

A: Homogenous differential equation: Let us consider differential equation of the form…

Q: (雲) 1 dy tion 1+ is = 3 dx wy da 3, 1 12, 1 1, 15 15, 1

A: We have to choose the correct answer

Q: 15 dy dt 2-

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Q: Evaluate f, f,(1-2) L(-dy dx dz

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Q: 4. (y² cos x - 3x²y – 2x) dx + (2y sin x – x³ + Iny) dy when x = 0, y = e %3D 5. (x² – 1) dy = ((1 +…

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Q: 7 xsiny dx + Cx²+1)cosy dy = 0, yC)=TT/2

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Q: Find dy/dx at the given point. 7x2y4=9-x2-9y  at (0,1)

A: Given: 7x2y4=9-x2-9y We have to find the dydx at (0,1)

Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

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Q: 7. What is the order, degree and linearity of: (dy + 3x dx, d°x = ey dx3 8. What is the order,…

A: Note: since you posted multiple questions. As per our guidelines we are supposed to solve one…

Q: 4 I. dx3, (d³y\ dy + 2- dx = sin x *+ O) + = In y. 3 II. dx dx dx d³y III. dx3 d²y , dy -2 + dx2 = x…

A: To identify which of the given differential equation is linear.

Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

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Q: y = cos“ x, Find dy/dx O dy = - sin(x*) O dy = 4 cos3 x sin x dx O dy = - 4 cos x sin x dx O dy = -…

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Q: arctan(*) 1+e2kx dx =? A) arctan(e*)In|cos(arctan(e*)| + S in |cos(arctan(e**)dz]+ c kekx 1+e2kx B)…

A: ∫arctan(ekx)1+e2kxdxFormula to be used :1.Intergration  by parts2.Substitution3.ddxarctan(ekx) =…

Q: S csc“(3y)dy

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Q: 2(1-z) Evaluate S-" ==-2) dy dx dz

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: 7. Integrate em***)dx_using the Substitution method. x +3

A: To evaluate the given integral using substitution method.

Q: y = x* Inx dy : =x³ +4x° Inx dx O Op tion 1 None of these dy - -x -4x° In x dx =x² -4x° Inx dx O…

A: Explanation of the answer is as follows

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

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Q: b) y = [ dx Integrate. 13 +5

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Q: . y = 2 In(3x² – 1) 2 (In(3x2 – 2)) (3x² – 1) dx dx dx dy = 2. dx 1 6x In(3x² – 1) dy 12x dx Зx2 — 1…

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Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

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Q: Can i get help step by step please

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Q: Find dy ify Yify = sın 2x. dx

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Q: 22. Find OY if y2 - 4xy + x² = 10. dx

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Q: 3. Find dy/dx of: x(x-y)-xーy evaluated at x = 0.001 and y = 0.002

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Q: dy = (x – 2)e-2y dx einitial condition y(2) = In(2).

A: Explanation and solution is given below.....

Q: 2Linear edluotion 5. dy dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

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: Show X -メ+1 =ソ- Can be reduce d to homegenons equation 2X +y-! メ+ 2y t1 dy dx

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Q: 5. dx/dt = (4+x)(y-x), dy/dt = (10-x)(y + x)

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

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Q: 3. dy/dt = e e- -∞ <yo <

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Q: 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy

A: A differential equation (Mdx+Ndy=0) is exact if  dM/dy= dN/dx

Q: y = 3 Arccos ( 1 -)+ v6x – x² y= In (*+1), (x+2)3 x²(x+1), e2x-e-2x y = e2x+e-2x

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Q: Compute both dy/dx and d^2y/dx^2 if x^3 + y^3 = x.

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Q: dy 3 (49-y²) 2

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Q: 3. (2х - у - 4) dx - (х-3)dy -0 when x %3 1, y 3D 4.

A: We try to identify and group terms and integrate.

Q: +15 - If y = cos-1(x) , Prove that dy -1 %3D dx /1-x²

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Q: 2 f(x)cos(n@,x)dx = %3D 27 cos(nx)ch. sin(nx) cos(nx) (2x) -sin(nx) + 2 11 f(x)sin(n@,x)dx =- [x…

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Q: 5) ( cos 'x dx -1 Where: u = cos(x) dv = dx

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Q: 19. Sobve (1-x*)-+m*y=0 dy=m dx where x=0, y=0,

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Q: Can i get help step by step please

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