solve the following x cos?y dx+tany dy = 0 -Q1 y dx = ( x+Vy2-x² ) dy -Q2 (sine - 2r cos?e ) dr +r cose (2r sine +1) de = 0 -Q3 (1+xy) dx-(1+x²) dy 0-Q4 y (8x-9y) dx+2x (x-3y) dy 0-Q5 (x-1) dx- (3x-2y-5) dy=0-Q6 (D³ + D-10) y = 29 e 4x -Q7

Q: dy y Cos x 2 dx = 2+ tan n %3D Solve COS 2

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Q: Which of the following CANNOT be solved by method of undetermined coefficients? A (D2-3D+2)y=sin x+…

A: Given that:

Q: If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are constants, ....…

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Q: Solve the following exact equations: 1) (сos 2y — 3x*y*dx + (сos2y — 2xsin 2y -2x'y)dy %3Dо 2) (2ху-…

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Q: Find the particular solution : y" + y" +4y sin2x sin2x (b) Yp =sin2x (a) yp = - (c) Yp =- cos2x ()…

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Q: Solve the following IVP: (2ry² + 3y sin z + 2y)dx + (3r²y – 6 cos I + 4r)dy = 0, y(0) = –1.

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Q: Solve the following equation using separation of variables: dy 2y- cos(x) dr 1+ sin(x)

A: Cross multiply the equation and solve

Q: Solve the DE * 1-y² dx= (9+x*) dy=0 In (9+x*) – 4x² sin -1 y=C (B In (9+x*) – 4 sinly=C © tan…

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Q: 4- Find dy/dx for: a- y = sec?x – tan?x b- y = sec³ ( – x) %3D c- y = sin(tan(3x)) d- y = /1+ sin³…

A: NOTE- Since questions 1, 2, 3, 5 and 6 are incomplete, so solving question 4 only. Please submit the…

Q: Find: O d: x-6,X-1 dy 3 23=Sin (cos 8x)

A: 1 .y=45x3-6x2+x2-12. y=sin(cos(8x))

Q: Solve the following 1 √√1-3x siny Cos 2y +1 cb₁ x² y² + x³ In x = 1 - 3 xy (a) - dx + dy = 0

A: We have to solve the differential equations given as follows a) 1sin ydx+1-3xcos 2y+1dy=0b)…

Q: Find if y = cos(e-2=) dy None 2e-2". sin(e-2") 3e2r. cos(e-2r) e2= . sin(e-2#)

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Q: Given G(x, y) = y* sin(2x) + x²(y10 – cos(y²))" . Find Gyyyxxxy- O a. -192 cos(2x) Ob. O b. – 192…

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Q: y" + 9y = e" cos 3x + x² + x³e*

A: 1f(D)eaxX = eax1f(D+a)X 1f(D)eax = 1f(a)eax 1f(D2)cos ax = 1f(-a2) cos ax

Q: Find the general solution of the following equations. 4. dy - x² = x dx sin x 5. y-'dy + ye cos x dx…

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Q: Q3.a) Find if y + SE rsecx -dt = xy sint+1 dz Q4.a) if z = sin²0, and 0 = w² + cos (w) find-

A: 3a):  y+∫xsecx11+sintdt=xydifferentiate both sides and use Leibniz rule for differentiating the…

Q: 4. Find d2y/dx? for the following functions: a) y = sin x2 cos 2x b) y = cos (sec? 3x)

A: Given that  a)y=sinx2cos2x b)y=cos4sec23x find d2ydx2

Q: Find dy/dt. y cos (rtt-10) %3D Select one: A. -5T COs (Tt - 10) sin(7tt - 10) B.-5Tt sin (rtt - 10)…

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Q: -9 4s4+s*V5-6 ds s4 1-cos? x dx sin x 2. 3.

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Q: Given 5y + cos(3y) = x³ Implicitly find dx Select one: 3x Sy²+sin 3y a. 3x O b. 5y²-sin 3y C.…

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Q: dy 1 dx 3 1 -sin x 3. Find the general solution of +cos(x)y = -e"sinny-². +-cos(x)y 3

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Q: 2n 37 So² S67 (x sin(y) – y cos(x)) dxdy = %3D

A: The given question can be solved as shown in step 2.

Q: dy 2y =x'cos 3x dx

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Q: Determine ?? using undetermined coefficients: 1. y'' + y' + y = 2xex

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Q: Solve xdx - x² (cot 2y + x2y cos 2y)dy = 0

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Q: Solve the following IVP: (3y cos x + 2xy^2)dx + (4y + 9 sin x + 4x^2y)dy = 0,  y(0) = 1.

A: The given Initial value problem is of the form M dx+N dy=0. After finding ∂M∂y, and ∂N∂x, we see…

Q: Solve the following Riccati equation dy _2 cos? x – sin² x + y² 2 cos x y1(x) = sin x dx

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Q: Find the solution. dy X-+ 2y = dx sin x y(2) = 1 A cy = (3 – cos 2x – tanx)/x? B x = (2 + cor2 –…

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Q: 3. Which of the following gives if y=sin" (2x)? dx 2 (A) V1-4x 1 (B) V1- 4x 2 (C) V1-4x 1 (D) V1-4x…

A: To find the dy/dx

Q: Solve the differenttal equat on 1y +dy_64=12x-50 Sin 2x dx? doe

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Q: Find constants A and B such that yp(x) = A sin x + B cos x is a solution of dy/dx + y = 2 sin x.

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Q: 4. Find d?y/dx² for the following functions: a) y = sin x² cos 2x b) y = cos*(sec² 3x) c) y = x²(x³…

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Q: Which of the following equations is NOT an exact equation? (2x sin y + y)dx + (x² cos y + x)dy = 0…

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Q: 4- Find dy/dx for: a- y = sec?x- tan?x b- y = sec - x) c- y = sin(tan(3x))

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Q: Given: x = 4 cos 26 and y= 2 sin 26 What is the value of in terms of 6. dz O dy csc 29 dx2 -csc 20 O…

A: The solution is given below:

Q: Solve the Bernoulli's equation given below: dy 2 dx -y cot2x = y' csc2x O A. [(y )^(- 2)] sin 2x = -…

A: Use Bernoulli theorem to solve

Q: Solve the following equation using separation of variables: cos(x) dy 2y d.r 1+ sin(x)

A: Solution of following equation using separation variable 2ydy/dx= cos(x) /(1+sin(x))

Q: Which of the following are correct general solutions to the exact equation below? (8xy−sinx)dx+4x^2…

A: For given exact differential equation we have to find general solution,  (8xy−sinx)dx+4x2dy=0

Q: The cos³4 dy is {A}-sin+sin³¹+C 3 4y 4 3 3 {B}sin-sin³¹+ C 3 4 3 (c)-sin-sin³+C {D}sin+sin³+ C

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Q: Solve the following Bernoulli's equation by using an appropriate substitution. sin y (x + sin y)dx +…

A: We have to solve the give Bernoulli's equation by substitution.

Q: Q1:- Solve the following DEs:- ху?-cos x sin x 1) y' У(1-x?) 2) (-4y + e-3*)dx = 4 dy -Зх dy 3) +…

A: We have to solve the given differential equation Here I am giving answer of 1st question if you want…

Q: e* cos e* dx J 4 + sin²e* A 1 tan-1 2 sin e* + C sin? e* + C 2 2 tan-1 B sin e* tan- 2 1 tan-1 2…

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Q: Use any appropriate method to find the general solution of each of the following equations. dy sin 2…

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Q: 1 In order to evaluate dx, the correct substitution is V-x²–4x+21 None of these -2 + 5 sin(t) x = -2…

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Q: 3. Find d, where ; a) cos(xy)- (x+y) (x+ =2 + e

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: Differential Equation Activity

A: To find the general solution of the given differential equation

Q: (a) y" + 3y' – 2y = -e2" (5 cos 2r + 9 sin 2a)

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Q: dy Find for the following expressions: dx а) y = x³ In(3x) b) y = 2 cos (+ 2x3) X 3x2 + 7x + cos (x)…

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Q: Find 2: (a) y = cos(1 1x + 5x)

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Q: Solve the following a) 2d²y_dy 3y = 25 sin 2x dx² dx d²y b) - 4 - 3y = 25 sin 2x dx² dx c) d²y dx² +…

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