- dy (y + 4)(2y – 1)

Q: Find the general solution of d²y dy 4- + 4y = 0 - %3D dx?

A: The given differential equation is d2ydx2-4dydx+4y=0.

Q: + 1 =2e- dy

A: Given, Can be rewritten as

Q: cos (2t + ) dt e21–3 %3D 4 -3 4 64e3 7.

A:

Q: syidr + [2yłn () + 3siny]dy: 6. x²+3x 3y?dx 5x ;when x = 1, y = 0 x+3,

A: Given, Differential Equation:  3y2x2+3xdx+2y ln5xx+3+3 sin ydy=0when, x=1 and y=0 To find: The…

Q: 3. II Azy'dz dy = 2y°(3² – 1)dy | 2y (y? – 1)dy 1

A: Given that a double integration .We use general  property of integration to solve this integration.…

Q: 1 В(т, п) ym-1(a – y)"-'dy. am+n-1

A:

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

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Q: Evaluate " " So s L dz dx dy rvZ c3y (8-x²-y² Jx²+3y²

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Q: dy Let y = (x2 – vx)4". Find using any method. dx -

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Q: (교2 + y2 - 5)dz = (y + zy)dy,

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Q: x²V4x +1 dy then dx If y = In (x³ + 5)3

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Q: 2 (Dx-2Dx0y +Oy)u= 3Xy %3D AMS. 4

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Q: 4.Jy2-プdy

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Q: 8. Jydx + (1+ x)dy = 0,,when x = 1, y = 4

A: Differentiable equation can be solved separating the variables on each side and then integrating…

Q: 1-Vy dy Vy 4

A: We need to find the given integral.

Q: d3y/dx3 -dy/dx=5sinx+10cosx+120e3x Diferansiyel denklemini çözünüz

A: Find complementary function and particular solution for the given differential equation

Q: 4. Find dy and Ay for y = 3/ – I+ 2x at r = 2 with da = Ar = 0.2.

A: Consider the following information: y=3x-1dx=∆x=0.2 Differentiate y with respect to x: dy=32x-1dx dy…

Q: C/ Answer two only: dy dy 1- y= eV1+5x? the dx 3- y= 2r° +3 , x =, he .(using chain rule). dx dy 2-…

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Q: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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Q: dy -y2+1,ysCJse Cantial cokditian.

A:

Q: z=9x + 4y + 1 dy = (9x+4y+ 1) 2 reduces to dx Using the substitution the DE -- dz=9dx+ 4dy

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Q: -2dх 38. y-2dx dy er e2x + 1' УО) %3D 1

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Q: dy 5. S: y(1-Vy)2

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Q: dy t² +3 21. Find 9 if y = In dt /1-t,

A: We need to find derivative of given function with respect to t

Q: dy y dx 2x = 3y2 – 2 when y = 1 and x = 1 in terms of x. %3D - -

A:

Q: Find dy x 3 In (x - y) = xy + y²

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Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: N= 8%° + 3s $1

A:

Q: Calculate the LOS of y = x² + 2x + 8 LOS is x = a is b is cis

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Q: Pdx + dy = 0, y(-1) = 2. (y 2) dy = 0, y(-1) = 2. ry2

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Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: С) хdy-у vdx-x²y°dy=0

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Q: dy e2x -3 Find if y = In %3D dx 1-4x

A: SOLUTION-

Q: 2-dy dy. y2 dx 12 ナ /2

A: We have to solve the given equation. The given equation is 2-dydX=y2X2+yX+1    ......(1)

Q: LLL- (x+ y+ z)dydxdz. -1 J-1 J-1 |

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Q: Find formulas for dy and Ay if y = 8x – 4. | dy Ay =

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Q: Q4) Find y" + 3y' 5y at x-5 where y = xsin(1/cscx))

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Q: Vy2 -25 dy S y3

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Q: 14. Evaluate 4y dx +3ax dy, where C is the trapezoid with vertices (0,0), (2,0), (6,2) and (0,2).

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Q: 1 y2e- dy 7 صواب ihi

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Q: [ a(x+y) - xty]dy = (x+xy²- 2y +3)d« when x-1, yal 3. %3D (9xy - 2y²) dx - ( 6x²_ xy) dy =0 4.

A: I have authority to answer one question only, if you want another question to be solved then upload…

Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

Q: 5. ydx - (x +3y')dy = 0 Ans. x = 6y In C

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Q: -3 -2 ²₁ ² [z³(x + y)³] dz dy dx

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Q: Integrate the FF- ). dy dy N+2 V+2

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Q: (b) If z = 9t²e 4t, find 4 dz dt

A: Given.