Specify if the following differential equation is exact or non-exact . Find the general solution. a. (y² - 2xy + 6x)dx - (x² - 2xy + 2)dy = 0 b. 2y dy = (3y² cot x + sin x cos x)dx c. (cos 2y - 3x²y²)dx + (cos 2y - 2x sin 2y - 2x³y)dy = 0 d. (y³ + x ln y/x)dy + (y ln y/x)dx = 0

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Q: Given the following differential equation: y" + 4y tan? 2x %3D Using the method of variation of…

A: Here is the solution of the given problem.  Method of Variation of Parameters.

Q: Solve the following differential equations: 1 √1-3x (a) -dx + sin y cos 2y + 1 dy = 0 (b) x²y + x³…

A: I am attaching image so that you understand each and every step. Here "c" is integration constant.

Q: Find the general solution of the following differential equations: (y² + 3)dx – () ydy = 0 - (cos(x…

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Q: 2- Solve the following differential equation; dy = ycot(x) + y°csc"x - 1 dx %3D We observe that the…

A: The given differential equation is, dydx=ycotx+y2csc2x-1

Q: Solution of the following differential equation dx - = sec²2y dy will be а. у %3Dtan2x + с b. 2x…

A: To solve the differential equation Use variable separable method

Q: Which of the following differential equations is an exact differential equation (x +)dx- xy đy-0…

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Q: a.) y = 2cx² + c² b.) y = c1x + c2x² + sin x %3D

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Q: Which of the following differential equations can be solved with the method of undetermined…

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Q: Solve the following differential equation reducible to Homogeneous form. dy/dx = (x + 2y -3) / (2x +…

A: The given differential equation is; dy/dx = (x + 2y -3) / (2x + y – 3).

Q: Solve the following linear differential equations. 1. dx/dy= siny-xcscy 2. dx/dy + (1/x + tanx)y =…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 2 4u + Tan-1 4v) du + dv = 0 /1-4u2 1+16v2

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Q: Solve the following differential equations: 2 √1-y² (a) - dx + y sin 2x -dy = 0 cos 4x+1

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Q: FIND THE GENERAL SOLUTION OF THE FOLLOWING DIFFERENTIAL EQUATION: 1. sin x sin ydx + cos x cos ydy =…

A: Topic - differential Equations Note :as per bartleby Guidelines ,we are supposed to answer only…

Q: 2(3e²* cos y + x) dx – 3e2* sin y dy = 0 ; y(-n) = 0

A: Using Method of Exact Differential Equation.

Q: Show the following differential equation is exact, then solve it. [sin(xy) + xy cos(xy) – 8x]dx +…

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Q: Which of the following is Differential equation? A. sin x2 + cos x = 0 B. y = x4 + 2x + 1 C.…

A: To find which of equation is a differential equation

Q: Determine if the following Differential Equation is an Exact/Inexact. If it is an inexact…

A: Exact differential equation: A differential equation M dx + N dy = 0 is said to be exact if…

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Q: (xy2+x2)dy+ydx=0

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the remaining…

Q: [4x°cos(xy)-x*ysin(xy)– ye" +3x³]dx -[x°sin(xy)+ xe" +6y°]dy = 0

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Q: Solve the following differential equations using the method for exact equations. (1 − cos 2y − 2y…

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Q: Find the solution of the following Differential Equations 6) y'+2y=cos(x) 8) y'= (y-1) cot(x)

A: (6).  The given differential equation is: y'+2y=cos(x) This is the first order linear differential…

Q: Solve the following differential equation Vx² -y? +y y' = Select one: O a. tan-1(2)=Inx+c O b.…

A: Given: y'=x2-y2+yx For finding solution of given differential equation, we substitute y=xt…

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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…

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A: Let us consider the differential equation f(x)dx=g(y)dy To solve the differential equation integrate…

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Q: Solve the following differential equations properly. a. y(x2 + xy - 2y2)dx + x(3y2 - xy - x2)dy = 0…

A: first we find the integrating factor then solve for the particular solution

Q: Solve the following differential equation cos>x Y = xV dy = xV1-y dx Select one: O a. y= cos(xtanx +…

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Q: . Which of the following equations is an exact differential equation? |(x² + 1)dx – xydx =-8 A 2xydx…

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Q: solve the following implicit ordinary differential equations. Зx*у + e% sect (ху) y' = - y , у (0) —…

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATION PROPERLY:  a. (2x2+3y3)dx - (x3+2xy2)dy = 0 b. sec x dy…

A: Explanation of the solution is given below...

Q: Show that the following differential equation is an exact equation. (2x+xy-1)dx+(x'y+3)dy = 0,…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' + 2y = e2×(cos(x) – 9…

A: To determine: The solution of differential equation by undetermined coefficients.…

Q: Solve the following homogeneous differential equation via substitution (3x2+9xy+5y2)dx -…

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Q: Solve the following differential equations: Q.1 (2y – x - 4)dx - (2x - y + 2)dy = 0 Q.2 x?dy - sin…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: 1. у %3D Cје-* + с2 cos 3x + с3 Sin 3x у" +у" + 9y' + 9у %3D 0

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

Q: Solve the following differential equation in terms of an Exact differential equation. a) (x + y -…

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

Q: Solve the given differential equation. Ans: + cos x = c 1. y' +y2 sin x = 0 %3D y

A: The objective of the question is solving the differential equations.

Q: 3. Determine whether the given differential equation is exact. If it is exact, solve it. e (x – y3 +…

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Q: 3. Solve the following differential equation subject to the indicated conditions. y" – y = x + sin…

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Q: Solve the following differential equation and match the co x dx+ ydy=x'ydy-y'xdx dy +y tan x=see x…

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS WITH COMPLETE SOLUTION AND NO SHORTCUT. a. x (dx/dy) + (…

A: Introduction: When a differential equation can be expressed as dydx+Pxy=Qx The equation can be…

Q: Solve the following linear differential equation xy -y+2x CAy=3x+cx y-x+c Cy-x+cx CO. ENon of the…

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Q: Solve the following differential equations 1. sec3x dt = tan2t dx

A: according to our guidelines we can answer only first question and rest can be reposted.

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Q: Solve the following second-order differential equation d²y 4x2 dx? dy 8x + 8y 4x4 cos x. dx Use…

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