у 3D sec u аnd и — е 2х — 4 csc x -

Q: EX selve (I+ COSX)y = Sinx (sinx cosx-y) %3D solve EX) 2dX+ (2X-y+3 )dy = 0 %3D

A: We solve the differential equation with help of integrating factor.

Q: dP 5. = P- p2 cet Ans: %3D %3D dt 1-P

A: topic - differential  equation

Q: cosysin2xdx – (cos?y – cos?x)dy 0 when y(30°) = 30° %3D %3D -

A: Solution is given below:

Q: calculate / SR2 dA Where R = {(x, y)/1 < æ < 2,0 < y< 2æ}|

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Q: y' + z' - 2y = 1 z – y' = t %3D Yo = 20 = 1 %3D -

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Q: Differentiate (a). y = 23z+sin z² %3D (b). y = r³3=

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Q: dy dr 1. cos(r + y) y(0) = 2. (4ry + 3x²)dx + (2y + 2r²) = 0, y(0) = –2

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Q: xbe inner froduct x+y Lx_y ?

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Q: Find dy/dr. cos 2r y = sec r+ 1

A: solution :-To find :- dydxy=cos2xsecx+15=ddxf(x)g(x)=g(x).f'(x)-f(x)g;(x)[g(x)]2

Q: Solve y′′ − 2y′ + y = 2sinx − cosx  , y′(0) = 0 , y(0) = 0

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Q: tan 0 d 30. dO sec² y dy

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Q: If z = x sin y + y sin x a2z then дхду

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Q: sin(2t + ) dt = 00 64e 4. O O OG

A: Here in this problem we have to find ∫0∞sin(2t+π2)e2t-3dt

Q: Differentiate y = sec (x^2 + 2) *

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Q: F. Solve: y" – 6y' + 15y = 2 sin 3t, y(0) = –1, y'(0) %3D -

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Q: 1. D'y+y=sec x² 2. D'y+y= tanx

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Q: 2y" + 29y = 0, %3D y(0) = 7, y' (0) = 7. y(t) =

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Q: Find x and y in terms of a. X + y = 0 х+ ay %3D 6 (а + 1) (х, у) —

A: Given:    x + y =0        --------1   x + ay = 6     --------2 from 1: x = -y put the value of x in…

Q: Which of the following is not a meaningful triple integral?

A: a. ∫01∫0x∫x+y2x+yex+y+z dz dy dxb. ∫01∫0z∫x+y2x+yex+y+z dz dy dx

Q: 4x + Vx Y = (a) 7x2 – 3 et (b) y = 7x³ cos x 19

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Q: Find the solution. (Dª+2D3 + 10D2)y =0. @y = c,e-+czxe¯+e"(e,cos3r +c,sin3x) y = (c,+c,)x+e*(c,cos3x…

A: To solve the given Differential equation.

Q: Expand completely. (3z 1) ar + ba + cr+ da² + ex + ƒ %3D d = and f=

A: Given 3x-15=ax5+bx4+cx3+dx2+ex+f To do  Find the value of a, b, c ,d ,e and f in the expansion

Q: (b) y" – 2y' + 5y = eª cos 2x, y(0) = 2, y' (0) = –1.

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Q: Calculate x²+y² =4 and Sin (yetp) dA,D between. ty2 = 16 abore y=0 2 %3D

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Q: plot parucul Solu 1. y" +3y' – 4y= sin wx, 2. y" +3y' – 4y = cos wx.

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Q: Dyy 2y-x; %3D

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Q: Differentiate: y = v25 – 22 – 5 arccos() 5+2 O y = O y = %3D Oy =

A: derivative

Q: 8. Se3y cos(4y) dy u dy

A: Since, you have asked multiple questions, we will solve the first question for you as company…

Q: 2. ii) (8y2 + sin y) dy

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: у"(С) — бу'(t) — 2y(€) = 4 cos 2t – 4t³; y(0) -2, y'(0) = = -

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Q: Calculate || xVy² + x²dA, Where R = {(x, y) /0 < y <land 0 < x < y}

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Q: IL yeX+Y dy = -2X 12. y (In y) y' – In x = 0 2X 13. 9 = y Y(0) = -2 %3D y + x² y 14. xy y' = 1+y?,…

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Q: dy un 3 sec2 5x, w dr

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Q: VARIATION OF PARAMETERS 1. (D2 + 1)y = secx tanx 1 2. (D² – 3D + 2)y 1+e-x

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Q: if z=ex( x cos y-y sin y ), show that  ∂2z/∂x2+∂2z/∂y2=0.

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Q: 2 2 Evaluate SS(\y sin y) dydx .

A: To evaluate: ∫0π2∫x2π2ysiny dy dx The first step is to reverse the order of integration. Here y is…

Q: b) dr cos² #√5 + tanz c) ₁ dt (3-5t)²

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Q: Calculate AB – 2CT where 1 2 A -1 0 1 1 2 1) В C = 0 1 (-3 2, -

A: Given the matrices A=12101-1,B=-1021-11,C=-21-32. Calculate AB-2CT.

Q: | sec? (y) /2+ tan(y) dy V

A: To evaluate: ∫0π sec2y 2+tan ydy

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

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Q: 19. tag³z dz %3D tag' z tag²z dz tag³ z (sec' z – 1) dz %3D

A: The given is to find∫tan5 xdx

Q: y = 1+(t- y), 2<153, y(2) = 1, with h = 0.5 %3D %3D

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Q: 28. y' ry + 1; (ry+ 1)dr- dy 0 29. dr- dy 0 %3D

A: Differential equations

Q: Differentiate xcos(2x+3y)=y sinx

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Q: d²y dy +y=1²-2t +3 4- dt? dt

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Q: UH = 19 FH = 5x-7 H. E %3D U

A: Given - A parallelogram(figure) To find - Value of x in the given figure

Q: 4. x = 9-y2 ,-2 <y S2 about y-axis vis

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Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

A:

Q: Find

A: