x² + y² – 4 hat fa(x, y) = 2 Va² + y? · V9 - (Vx² + y? – 4) r2 |

Q: B matrix= 3 X O oy Caluulate

A: The detailed solution is as follows below:

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

A:

Q: D7 + D® – 2D$ – 2D4 – 7D³ – 7D² – 4D – 4) y = 0 - - - -

A: follow next step

Q: Find f. r0 - VD + Sx), 1) -9 X) =

A:

Q: dx 11 3x+2y <=C Ans: 3e-2 +2e³x.

A:

Q: + y²(x+ 1)² = C

A:

Q: dy Q1: - Find of the following functions dx x2 +3 b. y = (x-1)3+(x+1)3

A:

Q: Find ¹ (3x + 5y)dA where D = {(x, y) | x² + y² ≤ 16, x ≥ 0}

A:

Q: d = (x2 – x1)² + (y2 = Y1)²

A: The given equation is the Distance Formula. It gives the distance between any two points in the…

Q: frx) = x² -5x* , 5x * 3 %3D t X-intercept

A:

Q: dy if y + x+2ry = 2+ x and (x, y) # (2,-2). dr 12 Determine an equation for

A:

Q: /6х — 22

A: We will evaluate the given integral as shown below by using trigonometric substitution

Q: d'y 1 d dx 2 x d.

A:

Q: = -21e 2 C D +4 D +9D t1o)y 4. /f x-O -4 l 10

A: To sove the initial value problem for y=y(x)

Q: 6. Find (x + 3y)dA where D = {(x, y) | æ² + y 0}

A:

Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

Q: y = 2t + t2 – 2(In t)² d.

A: y = 2t + t2 - 2(lnt)2

Q: Change (x + 9)? + y? = 169 to x? + y? + Dx + Ey + F = 0. Change x? + y? – 8x – 8y + 16 = 0 to (x-h)?…

A: topic - equation of circles

Q: Evaluate -42 (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7) X

A:

Q: Determine the antidifferentiation of (3xc + ed - (4/x)) dx  (where c; d are real numbers and c does…

A:

Q: -5/2 y?-2y 4. -/2 - 2y 1/2

A:

Q: // (3x + 4y)dA where Find D D = {(x, y) | x² + y² 0}

A: Given f(x,y) = 3x+4ydA =dxdyarea bounded by the region x2+y2≤4,x≥0. It is a semicircle in the left…

Q: - dx V4 –x² 14.

A: We have to integrate

Q: If f(x,y) = 2x2-5xy+y?, find the value of f(1,2). A -2 -3 -4 D -5 B.

A: f(x,y)=2x2-5xy+y2

Q: x²y+ 2xy = x + y ise y =?

A:

Q: (t+6)2 dt

A: Given,

Q: Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec²x

A:

Q: Find // (3x + 5y)dA where D D = {(x, y) | x² + y² 0} . Round your answer to four decimal places.

A: Double integration

Q: Evaluate | (r + y)ds, c : x 3t, y = - 3t + 3, for 0 <t< 3.

A: Given: ∫C(x+y)ds, C: x=3t, y=-3t+3, for 0≤t≤3

Q: f(x, y) = /322 + 5y²

A:

Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

A:

Q: (yæ² + æ*) dy – (y³ + 2 y² a 3 3 y x²) dx = 0 - - –

A:

Q: Find // (5x + y)dA where D : {(x, y) | x² + y? 0}

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.