Solve the ODE: (7e sin y – - 49y sin(7x))dx + (e“ cos y + 14y cos(7x))dy = 0

Q: d²y Find С. dx? 1. y= sin 2x +cos² x sin x 2. у- - y= 1-cosx

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Q: d²y Find 2 dx? y = sin 2x+cos² x

A: Using derivatives.

Q: Q3- Find i) S sin3x.cos(-5x)dx

A: We have to evaluate the following integral: int sin 3x . cos (-5x) dx

Q: y" + 2y' = 4x – 5 cos(x).

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Q: Q1) Solve 1 + cos y – 2xy) dx – (xsin y + x²)dy = 0 +1

A: Given differential equation is  1x2+1+cosy-2xydx-xsiny+x2dy=0 This equation can be written as…

Q: 2FI 2 sin nx dx cos nx dx =0, where n integer. %3D !! 0.

A: Note: -     as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: y=(4x -5x +6)(e-sin 2x), then find dy at x 0.

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Q: Find the solution of the equation CoS dy which tends to zero as x - 00 and has the value cos y when…

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Q: Q3) Solve (ysin x + y²) dx – („ - 2xy) dy = 0 + cosx %3D |

A: A differential equation of the form Mdx+Ndy=0 is said t be an exact differential equation if it…

Q: Solve the equation siny(X+siny)Dy+2x²cosydy=0

A: Consider the provided question, sinyx+sinydx+2x2cosydy=0sinyx+siny+2x2cosydydx=0…

Q: solve the IVP x(1-siny)dy=(cosx-cosy-y)dx y(π/2) =0

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Q: Find dy/dx for y = 3[(sin-(e-3x*))2

A: Given,          y=3sin-1e-3x22

Q: -2 Ssin®(3x)cos(3x) 5 dx

A: Given, ∫sin53xcos3x-25dx We have to find the integration.

Q: (D³ + 3D + 4D³ + 12D²) y = 32 cos (2x) +3e3 – 16 sin (2) -

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Q: y + sinx cos2(xy) cos (xy) Ex. 13. Solve dx + %3D .cos?(xy) + siny ) dy = 0. CS Scanned with…

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Q: Find the value of dy/dx at (1,0) of 2re" – In() = 4y² + 2a sin

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Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: What is the annihilator for y=x e*cos 2x ?

A: Our Aim is to compute the annihilator for y=x ex cos 2x -(i)

Q: Find dy/dx of y sin -1). A 3. B 1-9r2 D

A: Y= sin-1(1/x)  and we have to find dy/dx

Q: dy Solve sin -1 | = x +y dx,

A: Sin-1(dy/ dx) = x+y => dy/ dx = sin(x+y).

Q: d2y/dx2 +4y=sin3x+cos2x

A: Given that:

Q: 6) F Sin12y Cos’ y dy

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Q: Solve cos x(e2y - y) = e' sin 2x, dy dx

A: We have to solve the given differential equation.

Q: Find the solution of the DE using reduction Order (D2 + 4)y = sinx

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Q: Find d²y/dx² implicitly in terms of x and y. 4xy 5 cos(x) = -9 d²y dx² || X

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Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x?

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Q: Find the solution of the equation 22 J²z Əz + =e cos y dx² Əy² which tends to zero as x→∞ and has…

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Q: (c) Solve the IVP x(1- siny)dy = (cosx – cosy – y)dx.

A: Given,          x(1-siny)dy=(cosx-cosy-y)dxand            yπ2=0

Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: x7+3x2. Find dy/dx if: (y)² = sin (cos³(* +3: *)) %3D 2

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Q: Find the solution of d2y/dx2 +4y=sin3xx+cos2x

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Q: Solve the DE when all conditions set to zero. (D² + 4)y = sin²2x

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Q: Find at the point (1,0) for cos xy + ye* = 0. dx

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Q: a. cos x dy + y(sin x - 1) dx = 0; when x = 7, y = -2

A: According to our guideline we are supposed to to do only the first question if you want any…

Q: (D² – 3D + 2) y = 14 sin 2x – 18 cos 2x

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Q: Obtain the solution (3tan x-2cos y) sec^2x dx + tan x sin y dy = 0

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Q: Find dy of the function y = cos2 3X + √√Sin x dx

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Q: Integrate x cos(2x^2+7) dx. Select the correct response: O sin (2x^2+ 7) + C

A: Integrate using substitution method.

Q: 3.) Solve the equation using discontinuous function: y" + 9y = cos(2t) – U37(t)cos(2t) , y(0) = 0,…

A: We will find out the required solution.

Q: Find the value of zr» at the point (0, 3, 2) where a²y² + 2² – cos(ryz) = 10.

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Q: Solve the equation (x+3x³ siny) dx + (x4 cosy) dy = 0

A: Here we have given a differential equation :(x+3x2siny)dx+(x4cosy)dy=0      ......eq(1)

Q: Find the solution of d2y/dx2+4y=sin3x+cos2x

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Q: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

A: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

Q: 2. Solve the ODE using Separation of Variables. dy dx 5x²+4 y+1

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Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

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Q: 4. cos x dy + y(sinx- 1) dx = 0; when x = n, y = -2

A: (4) To find: The solution of differential equation. Given: The differential equation is…

Q: dx 3. 2y cos x + 4y sin x = sin 2x, given y =0 when x n/3.

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Q: 6y' = y*sinx У (0) — 1

A: