dy Find dx given that+y-5y-x² = -4 2x A 3у-2у-5 2х 3y + +2y+5 None of the given choices 2x 3y+2y-5 2x E 3y2-2y+5 B.

Q: 4. Find 4x2+2x-1 dx. x3+x2

A: It is required to find the integral ∫4x2+2x-1x3+x2dx. Consider the integrand 4x2+2x-1x3+x2. Find the…

Q: 2x+3 a) S; dx x2-3x+2

A: We integrate the following by using substitution rules and factories the denominator.

Q: Зx2-7 dy 2х3+5 dx

A:

Q: (a1x + bịy + c1)dx + (a2x + b2y + c2)dy = 0

A: We will find out the required general solution.

Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

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Q: .5 dx Vx4 – 2x2 + 1 b. 3

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Q: 2x +4y-2= X -y +2 =-6 3x +2y-Z= 5

A:

Q: Find the intersection point of 2x – y = 5 and 4x = – 2y + 6

A: Given: 2x - y = 5, 4x = -2y + 6 Calculations: From first equation, 2x - 5 = y Substitute this in…

Q: -5-4-3-2-1 2 -2 y +y = 2x + 3 By=-2x + 3 find correct option 2 3 4 5 x Cy=-4x+3 Dy=3x-2

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Q: (2x-1) (3x + 4) dæ

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Q: 5 4x³-3x²+12 10. Find y = dx

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Q: Find the point on the line 6x + y = 8 that is closest to the point (−4, 1).

A: to find:- point Q(x,y).

Q: 6y²dx- x(2x³ +y)dy = 0 a. x³yi = y#+ c b. x-3yi 2y+ c C. x³yi= yi+ c -y= 2y+ c d. x

A:

Q: dy If 32? + 5а2у? — 2у, then ,2,2 dx -6x A 20ху—2 - 10гу? — 6х 10г2 у - 2 В 2-6х —10ху? 10x?y…

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Q: If y= (x – 2) (x² + 2x + 4) then 3x + 2x – 2 .2 2x + 2 3x² 3x ² + 2x II

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Q: Find the characteristics equation of x²r+2xys+y²t

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Q: dx 4. J、マ-6x+13

A: 4. Given integral:

Q: 3-(2x-45y)dx +(5x+33%}) Ayzo

A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential equation…

Q: Evaluate -5у-5 dy 31. Jv+2y-4

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Q: Dª + 4D³ – 3D² − 2D + 1)y = 0

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Q: (D²-2D-3)y=64xe³x

A: We have to solve the given differential equation.

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: 1 x+1 ST (2y-2)dydx Evaluate 0 °0

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Q: dx 4. / TV²+ 4x – 4 4х — 4

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Q: [2x + 4y – 5z = -8 x + 5y + 2z = -1 (3х + Зу + 3z %3D 15 17)

A:

Q: dy r +3x+3 Find if y= I + 2 da dy da

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

Q: x²dx 2. Lo x*+16 8.

A: Using integration formulas

Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: d²y if 2x²-3y²=7 dx2

A: Differentiating both sides of the equation. 23x2-32ydydx=06x2-6ydydx=06ydydx=6x2dydx=x2y . . . . . .…

Q: 2x + 3 -dx. x2 + 3x + 4

A: To evaluate the integral: ∫2x+3x2+3x+4dx Evaluating the integral. Let substitute t=x2+3x+4…

Q: find

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Q: 3x+2y=D-14 x-Dy-3

A: the given system3x+2y=-14x=y-3we have to solve the system by the substitution method.