xilyz z?)p-y(z²+x)q= z(x+y')

Q: 2 dydx + f(x, y)dydx

A:

Q: at Solve thie équation use Eulers methoc- ds -t X-ツ dx x+y y(6)%=1

A:

Q: r3 V9-x² »6-x-y dz dy dx in the order dz dx dy 0,

A: Given triple integral is ∫03∫09-x2∫06-x-ydzdydx

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

A:

Q: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

A:

Q: e2x-1 If y = prove that = 1- y² dx

A: Given :y=e2x-1e2x+1

Q: d- . -x e-(x² +y²) dy dx -(x²+y²) dy dx

A: We can answer one question as per the honor policy. Please resubmit other question as well to know…

Q: ential equati x²y dy = C

A:

Q: (1+x²) uz + Uy = 0, u(1, y) = sec y

A:

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: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: Exact Diffe re ntial Equation: x(3xy – 4y' + 6 kdx + (x³ – 6x°y² –1\dy = 0 |

A:

Q: dx using miscellaneous substitution will yield to secx + 1 nsforming - S 1+2 / dz √²-22² dz 1+z²…

A:

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

A:

Q: 6. General solution is y = x² In x + Ca² , EXERCISE 6. dy 2y = x? dx

A:

Q: dy 3 sinh y - 5 cosh y

A: Given, I=∫dy3sinh y-5cosh y

Q: dy=y°-1 ex 2y

A: This is Separable differential equations

Q: lim (z,y) (1,1) 2x – ry – y 22 – y?

A:

Q: 2) Integrate using trigonometric substitution (a) s dx 4- x² (b) S, dx Vx2- 9

A:

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = sec-1 (x + yz)

A: Given that f(x, y, z)=sec-1(x+yz)

Q: 4) (x- y)dx+(3x+ y)dy =0, when x = 2, y = -1 5) (3x - 2 y²) y'= 2.xy, when x = 0, y =-1

A:

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

A:

Q: 1 z = Vuv, u = 3xy + 2x2 + e"-Y Find zzy at x = 1, y = 1

A: Topic:- function

Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: xux +yuy = 2u, u(0,y) = 0 by method characteristics a first order equation

A: Given equation is  xux+yuy=2u                   (i) Eq. (i) is of the form aux+buy=c where a is x, b…

Q: [2x*yžcosx² – 2x*yå + x/5]dx + [x/5stnx² - x° /9]dy = 0 3 2x²yz + x [x/ysinx? – x³ /y]dy = 0 -

A:

Q: 1) CSc y di + secx dy =0 CSC y Y.

A: Given query is to solve the differential equation.

Q: 1-y² V1-y? I-2(1- x) dy dx

A: We will divide and integral the given function

Q: y 3D 1 y = secxtanx; y

A:

Q: dy of y=X Find

A: y = x^x Find dy/dx

Q: Transforming - Ⓒ S 1 = ²2²1dz 1+z² ℗ B / 1 + 2/2 d -dz 1-z² Ⓒ *2-2z² 1+z² (A) dx secx + C-²₁- -dz…

A:

Q: 5. Exact Diffe re ntial Equation: x(3xy – 4y' +6}dx+(x' – 6x² y² -1dy =0

A:

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: 12. Find dy for y = sec (3x). %3D

A:

Q: 3. a) If y = 6x - 5x +7x +2x – x+10, find dy at (2,3) i. dx d'y il. -at (1,-5)

A: See the attachment

Q: 26. x = 2y, y(1) = 5 dy

A:

Q: Q3) (cos y – 2xy + dx – (x² + xsin y)dy = 0 x²+

A: Simplify the equations by grouping like terms and using the product rule of differentiation. Look…

Q: 5. y" – 2y' + y = 2sinx cosx y'(0) = 0,y(0) = 0 %3D | -

A:

Q: 3z (sec-(-3z?))³ 2|–3z*|-/9zª–1 If y= sec-1 (-3x²), then dy dz

A:

Q: cos y f(x, у, z) -D xz2 XZ

A:

Q: 3) Find d²y/dx² at the point (1, 1), if x6 + y6 = 2.

A:

Q: sin(3z+z²) Find y' for y = (6 – 2*)3

A:

Q: 9-y dy 5. S y

A: We will use trigonometric substitution.

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: 14. Find dy if y = sec(x² – 1). |

A:

Q: ne differential ay of 'uonpuni y = V 5 - x2

A: