Subject: Differential Equation Topic: Substitution Suggested by the Equation 1. (3 tan x - 2 cos y) sec2 x dx + tan x sin y dy = 0

Q: FINF DHE GENERAL EQUATION AND DETERMINE IF IT IS VARIABLE SEPARABLE, HOMOGENEOUS, EXACT,NON-EXACT…

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Q: Given the differential equation 2y"-5y-3y= cot 3x 7. What kind of roots is determined? Real and…

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Q: The solution of the differential equation (1 + x²). A tan + k B tan-(x) + k C cot-' () + k D…

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Q: ANS. 2y arc tan ( 18. y? dy = x(x dy – y dx) e*l». A

A: Use integrating factor to solve it.

Q: Determine whether the equation is exact or not exact differential equation (3+) dx + (1 + x*)cosy…

A: Consider the given equation as, 3+xsinydx+1+x2cosycos2y-1dy=0

Q: 3 Find the order and degree of the differential equation () A. 4th order, 7th degree B. 4th order,…

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Q: 1. cos y (y2 – 4x) dx + (2yxcosy – siny)dy 2. (sinxsiny + xsinxcosy – cosxcosy)dx – (cosxcosy –…

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Q: Determine whether the given expression is a solution to the given differential equation. Assume that…

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Q: Determine whether given differential equation is exact. If it is, find the solution. 5. (sin 0 – 2r…

A: Given differential equation is sin θ - 2r cos2θ dr + r cos θ 2r sin θ + 1 dθ = 0

Q: (D2 — 9)у %3D Зех + х — sin 4x

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Q: 9. Which of the equations given below is the solution of the following differential equation: x(1 –…

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Q: [Intro. to Ordinary Differential Equations] Determine whether the given differential equation is…

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Q: cos(x) cos(x)+1 * dy What is the general solution to the differential equation dx A y=cot(x) –…

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Q: Substitution Suggested by Equation Solve the differential equation of the following equations. 1.()=…

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Q: The following differential equation is considered. (y cos x+e*)dx +(sin x+ y² )dy = 0 (a) Determine…

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Q: Solve the differential equation: dy da + 2xy = y

A: We can solve the question as below.

Q: (b). State whether or not the following differential equations are exact. Hence solve the…

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Q: In solving equations, may it be an algebraic or a differential equation, if the variable represents…

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Q: 2 cos r – sin? r + y? y' = differential equation 2 cos z one of the special solutions of the…

A: Page  1Given defferential eq2 isy1 = 2 cos2x - sin2x + y22cos…

Q: The graph of a function fis shown. Use the differential equation and the given point to find an…

A: Consider the given differential equation

Q: Determine whether given differential equation is exact. If it is, find the solution. (sin 0 – 2r…

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Q: Problem 2: (2y cos a + sin x) dæ sin a dy when a = , y = 1

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Q: Find the particular solution of the differential equation. Express the solution as y = f(x), where y…

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

Q: Question 13 A The slope field for a certain differential equation is shown above. Which of the…

A: Given: To Find: The slope field for a certain differential equation is shown above.Which of the…

Q: 17. [x – y arc tan (y/x)] dx + x arc tan (y/x) dy = 0. ANS. 2y arc tan (y/x) = x In [c²(x² +…

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Q: cos(x) dy What is the general solution to the differential equation dx cos (x) – 1 y= - cot(x) –…

A: Given dy/dx = cos(x) / {cos(x)-1} We have to find out the general solution

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: olve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: (x^4+e^x+xy^2)dx + (x^2y+siny)dy=0 a) Show that the equations exact   b) solve differential…

A: In part (a) We have to show that equation exact And in part (b) we have to solve differential…

Q: Bernoulli Differential Equation .3 A.) V +y°cos (x) +y cot (x) = 0 B.) y'+y = xy², ylo) = I こ

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Q: (3 tan x - 2 cos y) sec2 x dx + tan x sin y dy = 0

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Q: Find solutions using Exact Equations 1. Solve (y sin x + xy cos x) dx + (x sin x + 1)dy = 0 %3D

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Q: 3. Find L [B(t)] where B(t) = sin 2t, = 0, 0 T

A: To solve the given question first we use the integral property of Laplace transform of piecewise…

Q: 2. Solve the ordinary differential equation. a) e2*cos(y)sin(x)dx + e*tan(y)dy = 0

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Q: Question Find the differential dy of the function y = -2 cos (6x). Provide your answer below: dy=dx…

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Q: ANS. arc tan (9/X) 18. y? dy = x(x dy – y dx) e*». ANS. y In ly/c| = (y – x) e*/».

A: (18).   The given differential equation is: y2 dy=xx dy-y dxexy

Q: dy cos(x) What is the general solution to the differential equation dx cos(x)+1? A y=cot(x) – cse(x)…

A: Topic = Differential equation  Correct answer = B

Q: Reduction to Exact Differential Equation 3 (x? + 3y? + 6y)dy + (x? + y²)dx = 0

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Q: (siny-ysinx) dx +(cosx +xcosy) dy =0

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Q: cos(x) cos (x) – 1 dy What is the general solution to the differential equation dr A y= - cot(x) –…

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Q: 53. Find constants A and B such that the function y = A sin x + B cos x satisfies the differential…

A: Consider the differential equation y''+y'−2y=sinx                       .......(1)

Q: Question Solve the differential equation below for y. 16 cot (4x) csc (4x) y' sin (5y) Be sure to…

A: We know, (i) ∫sin(ax)dx=-cos(ax)a (ii) ∫csc(ax)cot(ax)dx=-csc(ax)a

Q: COS X Cos y = cotx)dx = sin X sin y dy = 0

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Q: Question Three a) Find the first derivative of the function: y= cos" . b) Find the integral of: ftan…

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Q: 5. (r+sin0-cos0)dr+r(sin0+cos0)d0= 0

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Q: Question Two °a) Form the Differential equations for the function f(x)= ax'+bx = ex-2y +x²e dx dy b)…

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Q: B. EXACT EQUATIONS Find the general solution of the following differential equations dx (2) 3y sin x…

A: for the exact DE we have to make it separable DE so that we can separate the variables and then…

Q: cos(x) cos(x) + 1 dy What is the general solution to the differential equation dx A y=cot(x) –…

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Q: (D³ – D² + 4D – 4)y = 2e* sin(2x) – 3e*

A: We have to solve the given differential equation using undermined coefficients.

Q: 1 sin ax = S(D) S(-D) sin ax f(ai)f (– ai) 40. f(ai) f(-ai) # 0.

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