1. Determine the general solution of this equation in terms of C ( sin y- ysin x) dx + (cos x + x cos y) dx = 0

Q: (x² + y²)dx – xydy = 0 -

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Q: Problem 1. Determine a suitable form of particular solution Y (t) using the method of undetermined…

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Q: 1. Solve the initial value problem: dy 2xy): 1 + cos x y(y + sin x), y(0) = 1. dx %3D 1+ y?

A: The given differential equation is  11+y2+cosx-2xydydx=yy+sinx,  y(0)=1

Q: Question 3 Solve the following linear differential equation y -y tan(x) = sin(x) Where y(0) = 1 OA…

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Q: 1. f(x) = In 5x 2. у %3D 103х Final Answer: Final Answer: 3. y = sin(e3*) 4. y = cos 2x (e*²-1)…

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Q: Solve the following differential equations: (1) xdy-(tan y+xsec y)dx 0. d'y (2) +4y-(cosx) =0. dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (1) 3 dy + y = dx 3 Find the general solution to: 1. -

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Q: 1. Show that y(x) = c; sin 2x + c₂ cos 2x is a solution to y + 4y = 0.

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Q: | Solve the initial value problem dy + (cos r)y 1 sin 2x, y(T/2) = 1/e. %3D dx

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Q: 1. Find a particular solution in the given equation which satisfies the indicated conditions.…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the particular solution of (cos x x sin x + y2) dx + 2xy dy = 0 that satisfies the initial…

A: Please see the explanation below

Q: Solve the following differential equations. 3. (cos 2x-x'y³+5x²)dx – (sin 2y+x³y²)dy=0

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Q: 1. Solve the following initial value problem: dy xy cos x; dx y(0) = 0.5 %3D Idy =

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Q: 2. Use an appropriate method to find the general solution of the following differential equat (a) y"…

A: According to our guideline, we can solve only first question of multiple question. We solve here…

Q: Q.3. Solve the following first order differential equation: (cos y+sin y)² dx Vx²+x+3 cos 2y -dy =…

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Q: dy - y = xy2 dx

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Q: 3. Solve the Bernoulli's Differential Equations dy x = y + y°cosx dx

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Q: Find the solution to the Bernoulli equation. y = 2(3x+ y)2 – 1; x= 0,y=1 O 4tan-1(3x+ y) = 8x + T…

A: The solution is given as

Q: 2.- Find the solution of the initial value problem: y + ycost =D 극 sin 21, y(0) = 1

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Q: Find the general solution of y" – 4y' + 5y : sin (1)

A: The given differential equation is  y" - 4y' + 5y = e2xsinx

Q: Solve the initial value problem: dy 1+y? + cos x - 2xy) = y (y + sin x); y (0) = 1 dæ

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Q: Find the general solution of (2x + y cos (xy))dx + x cos (xy) dy= 0 Show your solutions on a…

A: Solution

Q: 1 Find the complete solution of y" - 2y' + 2y =x + e* cos x.

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Q: (b) Find the solution of the initial value problem dy dx Type your answer here: कर - xy = x²…

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Q: Solve the initial value problem + y cos x = dx sin 2x, y(n) = 0)

A: To solve the given initial value problem.

Q: Solve the initial-value problem cos y + (1 + e^−x)sin y dy/dx = 0, y(0) = π/4

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Q: Find the solution to the initial-value problem. dy dx = y2ex sin(7x), y(0) = 1

A: Given:    dydx = y2exsin(7x)       ,   y(0) =1

Q: b) Use the initial condition y(0)= 2.14 to find the particular solution of -2y+x² + 2x* = 0 %3D dx

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Q: 1. Solve the following differential equations. a) dx dy - XVX² +9, y(-4) = 0 b) xy'+ 2y = 3x dy = y…

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Q: Solve the initial value problem. (x^2+1)dy/dx+y^2+1=0 , y(0)=1 : tan^-1(x)+tan^-1(y)=c1 , x=0 and…

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Q: 6. Solve dy/dx = 3x^2 - sin y/ x cos y a. -x sin y = x^3 + c b. x sin y = - x^3 + c c. x sin y =…

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Q: Find the solution to the initial-value problem. dy dx = y2ex sin(2x), y(0) = 1 y =

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Q: 1) solve the following differential equations: a) (2x²³x+ sin (1/2-½x) + y ) dx + (x²y-x) dy = 0

A: We will make grouping of terms such that integration can be done .  Note: only one question is…

Q: Solve the following initial-value problem: /3 V1-y? dx - V1 - x² dy=0; y(0) = O sin-x- 2sin-ly=…

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Q: a. Solve the initival value problem: y = 5 cos (2r)/(6+ 5y), y(0) = -1. -6+V36 - ( sin (x) + 10 2. A…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solve the initial value problem. dy + y sin x = 2x cos² x, dx y(0) = 0 COS X - 2.

A: Given: cos(x)dydx+y sin(x)=2x cos2(x)

Q: 4. Show that 3x²e"dx + (x*e" – 1)dy = 0 is an exact equation and then find the solution.

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Q: Solve the following differential equations: (1) xdy - (tan y+xsec y)dx =0. d'y (2) +4y-(cosx)? =0.…

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Q: Q1 Solve the following differential equations 2x(x²– sin y+1) dx + (x²+1) cos ydy=0 1) cos(r)y' +…

A: According to our guidelines we can answer only one question and rest can be reposted .

Q: (1+ In xy) dx + (-)dy = 0

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Q: Solve the following differential cquations 1. x + x*y -sec(xy) Ans. sin x = 2x2 +C x +y Ans. y- tan…

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Q: 8. Find a particular solution y,(x) to the equation y" +y – 2y = 5 sin r - in the form yp(x) = c1…

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Q: Find an explicit solution of the given initial-value problem. √₁ - y² dx - √1 - x² dy = 0, y(0) =…

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Q: 8. Solve the initial value problem: ( dy = y(y + sin x), y(0) = 1 dx + cos x – + y? 2xy

A: The given problem is to solve the given initial value problem, Firstly we have to check the…

Q: Find the general solution of (x + y) cos ydr + (a cos y - sin y)dy = 0. |3|

A: Differential Equation: A differential equation is an equation that contains one or more terms and…

Q: Solve the following differential equations: a- cos (x+y) dx +(3y2 +2y +cos (x + y) dy=0 b- y = (x +…

A: Given a- cos (x+y) dx +(3y² +2y +cos (x + y) )dy =0 b-y'=(x+1)e-xy2

Q: Find the solution to the initial-value problem. dy dx = y2ex sin(7x), y(0) = 1 y

A: We will solve the given differential equation as shown below