Solve the given equation.. x²y³ dx + x(1+y²)dy=0 x² +2lnlyl-y-² = C x² + Inlyl-y2=C C. x+2lnlyl + y² = C d. x²-Inlyl-y-¹ = C a. b. e. 1 x² +21ny² = ² = C y

Q: Evaluate. [(122 - 9x 2) dx S(122 - 9x +2) . (Use C as the arbitrary constant.) dx =

A:

Q: 6 dx. 1+ 9x2 Calculate

A:

Q: y³y −3= ... Oa. 1/y Ob.y O C. 1 c. Od.0

A: Given expression isy³.y-3

Q: •2 cy sỏ , (xy2 + x) dxdy.

A:

Q: 3.2 (2x - y²) dxdy

A:

Q: 1. Find 2(3z + 4)² dz.

A:

Q: +). L x-1 dx -1x2+1

A:

Q: Answer 6. Solve (2y² +2y+4x²)dx+(2xy+x)dy=0 6. C=x°y* +x*y+x

A: Given differential equation  2y2+2y+4x2dx+2xy+xdy=0.....1 Compare equation (1) with Mdx+Ndy=0, we…

Q: Solve Ja-yi ) dy

A:

Q: 5x-y2 2xy+3y2" c. xy? - 2x5 + 3y³ = C d. xy? + x5 + y3 = C 29. Find the general solution in implicit…

A: We have to find solution of exact differential equation.

Q: Eliminate the arbitrary constant in the equation y? = 4ax. а. х?dу + 2хуdx —D 0 b. x?dy – 2xydx = 0…

A: The given equation is y2=4ax. Rewrite y2=4ax as, y2x=4aa=y24x

Q: Solve the given equation.. (e2x +y-1)dx dy = 0 a. b. y = Ce* + e²x + x y = Ce=x+1+e²x y = Cex +1+e²x…

A:

Q: -) Evaluate 4x2 - 10xy + 3y² for x 2 and y = -1

A:

Q: Evaluate. 9 -4 I| (6x + y) dx dy 0 -5

A: Integration is a process of finding the anti derivative of a function. There are basically two types…

Q: Solve for y.   5/2y - 7/3y = 1

A:

Q: 5. (2x + 3V )dx 2х + 3уx

A:

Q: d. x+3y = 0 y-4+ 4(x - 2) f. -6x + 4y -7 Find intercent and v-intercent.

A:

Q: .2 y = 4 - x² and x +y = 2.

A:

Q: 9 = dy

A:

Q: Solve the given equation.. (3x?у +2ху + у?)аdx + (x2 + у?)dy %3D0 (3x?y+y)e3x = C (3x?y + y³)e3x = C…

A: Recall:  If the equation M(x,y)dx+N(x,y)dy=0 is not exact and ∂M∂y-∂N∂xN is a function of x…

Q: solve for y. 3y = 2y+1

A: 3y=2y+1

Q: Solve the given equation.. (3x² + y)dx + (x²y-x)dy=0 a. b. C. ²- +3x=C x²y²+x²y + x4 = C x² - + x =…

A:

Q: Evaluate. 1 -2 (6x +y) dx dy 0 -5 1 -2 | (6x + y) dx dy =(Simplify your answer.) %3D 0-5

A:

Q: 2 D²y+y=secx²

A:

Q: Solve the following DE: 1. (D² – 3D + 2 ) y = 4x?

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: 4. (x? — у?)dx — 2хydy %3D 0

A:

Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: If 2x = xy + y2, then A. C. -2 + y x + 2y (2-y) x + 2y dx 11 B. D. -(2 + y) x + 2y -(-2+ y) x + 2xy

A:

Q: .5 X° +2x -Xp- X +1 -3 X° + 2x -dx%(Simplify your answer.) %3D X +1 3.

A: Consider the integral

Q: 2. obtain the general solution. a.(D - 3D + 2)y = 2x – 9x2 + 6x. b.(D2 + 4)y = 5e - 4x. c. (D² + 4)y…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)