Identify the class of equation (i) 2x+3 = y ;(ii)2x +2.x +3 = 0; (iii) 2sin x +sin x? = 1. %3D

Q: solve using the appropriate method. y' + (tan x)y = cos2 x, y(π) = 2

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Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: O. p. S sin 2x cos 3x dx 3dx /1 + 9x²

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Q: Find the solution of the equation a²z a²z + cos y ax² dy² which tends to zero as x→∞ and has the…

A: Given partial differential equation is ∂2z∂x2+∂2z∂y2=e−xcosy. It can be written as follows…

Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: y" + y = 3x sin x

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Q: Using Variation of Parameters 4y''+4=cos-1x

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Q: 4. J (cos x – sin x)²dx

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Q: y = (sin x +cos x) sec x = sec² x

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Q: Find the General and Particular solution of = 8 sin 4x ; y = 6 when x = 0 %3D dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 9. If y = costhen the second derivative is 5x 25 Cos, 16 5x 5x sin- 4 d. 25 5x sin- 4 a. 25 b. C -25…

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Q: Find the solution of the equation cos y which tends to zero as x → 0o and has the value cos y whenx=…

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Q: 2. S cos Vædx

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Q: 3x * y^4 = 5x * sin x + 4y ^ 3 * cos x + 5y * sin x

A: Given equation is: 3xy4=5x sin x+4y3 cos x+5y sin x

Q: ¥2/3 6. cos'x sin x dx 5.

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Q: Number 23

A: we have to find definite intregral of given question

Q: Find the General and Particular solution of = -8 sin 4x ; y = 6 when x = o dx

A: As there are multiple questions, first one is solved here.

Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: 4. ["s 0 sinx + 2 cos x dx

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Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: 5. ) Using the Method of Undetermined Coefficients, give an appropriate guess for y,. y(4) + 9y" =…

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Q: 1 Cos(2x)dx 0. (i) Using composite Trapezoidal rule with n = 2, 4

A: As per the policy of bartleby the provisions is to solve only one question at a time So I am solving…

Q: (a) / sin sin(8x) + cos(7.x) dx (b) / (3x – 5 sin dx 2 (c) / cos(3t) + sin(5t) dt

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Q: 2. The suitable Trignometric substitution that solves fx(x-2) dx is (x-1)=sin 0 x-1)3sec0 (x-1)=tan…

A: We can find the answer as below.

Q: 7T 2 Find 35 cos(7x) dx 5π 2 7T 2 35 35 cos(7x) dx = -5π လ

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Q: 1. § e sin 4x cos 4x dx 2.5 dx Se-2x dx %3D

A: 1) Given:                ∫esin 4x cos 4x dx Apply u-substitution: u=sin 4x⇒du=4 cos 4x dx…

Q: sin y = cos x (2 cos y– sin²x)

A: Given siny dydx = cosx (2cosy - sin2x)siny dydx -2 cosy cosx = - cosx sin2x…

Q: 1. [* sin' y cos' ydy 3

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Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO F

A: Topic- Derivative

Q: Find the solution of the equation = e cos y which tends to zero as x→ 00 and has the value cos y…

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Q: 1. . Use the method of characteristics to solve the first order equation Uz – 2uy with u(x, x) =…

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Q: 2 cos(플x-지) =D v2 TO

A: Given trigonometric equation is:  2 cosπ2x-π=2 We have to solve for x.

Q: 1. Given x = r2 cos(20) and y = -r² sin(20)

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Q: dz Find x? sin(2y – 5z) =1+y cos(6zx) -

A: This is partial derivative so differentiate it as normal differentiation of z with respect to y…

Q: 18) * x-sin 2x ; find y" y y" cos 2x y = 7 %3D Option 3 O Option 1 y" sin 2x

A: First we find out first derivative with respect to x then we find out 2nd derivative with respect to…

Q: Find the solution of the equation cos y which tends to zero as x- 0o and has the value cos y when x…

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Q: 3+6 b. (2xy-sin x) dx + (x-Cos yldy

A: Topic:- solution of differential equations

Q: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

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Q: Find the general solution 6. y"+4y' = sec2x Solution 6. y=c, +c, cos 2x+c, sin 2x+ 16 sin 2x -In(sec…

A: Given differential equation is y'''+4y'=sec2x We have to find the solution of the given differential…

Q: Find the solution of the equation Cos y which tends to zero as x - 0o and has the value cos y when x…

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Q: The solution of Sinx dx - x sinx+ y cosx= 0 is (y– 1) sinx =? A C-x sinx B C+ x cosx с-х cosx D C+ x…

A: sinxdydx-xsinx+ycosx=0sinxdydx+ycosx=xsinxddx(ysinx)=xsinx

Q: 35) y = -4 sin x 4+ 2+ 2n -2+ -4-

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Q: S2(cosx)(sin2x)dx %3D 3.

A: .................(1) take  put all values in equation 1

Q: 5 dx 3 dx, x> Find V25x-9 0 sin 13x+c -13x+C InV1+9x +3x +c 5x 25x2-9 in 3 + C 3 In 5x 25x2-9 + C 3.…

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Q: If y=cos (3x+5 ) then the derivative is - 3 sin(/3x+5) 2/3x+5 b) y'=-3sin(/3x+5) V3x+5 a) y'=- c)…

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Q: +3x2. Find dy/dx if: (y)² = sin5(cos³(- -)) 2 %3D

A: Given: (y)2=sin5cos3x7+3x22 ----(1) To find: dydx Let u=x7+3x22 , v=cos3u w=sin5v Now equation (1)…

Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: Find the solution of the equation Cos y which tends to zero as x → 0o and has the value cos y when x…

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Q: 6y' = y*sinx У (0) — 1

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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.