A differential equation y dx+ (x³y²+x²)dy = 0 js separated to obtain: A x'dx= (y²+ 1) dy B x-³dx= dy x³dx= (y+ ÷)dy y x-³dx= (y²– 1) dy

Q: Find the general solution for differential equation.

A: Derivative of a variable measures the rate of change of it with respect to some other variable. A…

Q: xy dx + (1+ x²) dy = 0 ху

A: We have to solve

Q: Using the substitutions 2= sin y and dz=cos y dy, the differential equation (3sin y – 5x)dx +2x² cot…

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Q: Consider the differential equation dy = x° (1 – y) with a particular dx solution y = f() having an…

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Q: What is the integrating factor of the non-exact differential equation (4ху+ 3у?-х)dx + (x2+2ху)dy…

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Q: The integrating factor for the differential equation (3xy + y)dx + (x2 + xy)dy 0 is - X Y O - Y O

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Q: determine the differential equation of the family of lines passing through the origin. x dy - y…

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Q: Is (1+ex/y)dx + ex/y(1-x/y)dy = 0, a exact differential equation? If yes then, find the value of y.

A: Exact differential equation- A differential equation of the type Mdx+Ndy=0 is said to be exact if,…

Q: The integrating factor of non-exact differential equation (æ³y³ – x®)dx – (y6 – x³y)dy= 0 1 xty3 +…

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Q: dg dx =g (4-8)4=x* 2.

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Q: Using the substitutions Z = sin y and dz=cos y dy, the differential equation (3sin y – 5x)dx + 2x²…

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Q: find solution of this differential equation: (1−xy)^−2 dx + [y^2 + x^2 (1−xy)^−2 ]dy = 0; when x =…

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Q: The differential equation formed by eliminating arbitrary constants a ,b and c: y = ar + b+ cx +4 is…

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Q: 7 dy] 6 dy +7- dx³ dy dy 2+7=0 dr Find the order differential equation of +6- 3- dz5 dx?

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: (x² - 1) Y +2xy = 1 solution of differential equation is dy %3D | dx

A: Introduction :

Q: What is the integrating factor to (2y2 + 3xy – 2y +6x) dx + x (x + 2y – 1) dy = 0, to make it an…

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Q: Find a suitable integrating factor to solve the first the first order linear differential equation…

A: Y(X)= x2+x

Q: Obtain the differential equation associated with the family of curves below: y = A + Bx + Ce2x y" -…

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Q: dy Find the particular solution of the differential equation of x-y = 4x' sin(x) with the dx…

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Q: satisfies the differential equation Show that y = x+ Vx' + dy - m°y = 0 + x- dx

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Q: Find the particular solution to the differential equation. x2e2y dy = (x3 + 3) dx    when x = 3, y…

A: We have to solve

Q: differential equation dy/dx=-(x+1) / 2(y+3

A: The question is taken from the calculus in which we have to find the differential equations…

Q: he integrating factor to the linear differential equation x(x² +1)y' +2y = (x² +1)° is:

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Q: 9. Use separation of variables to find the general solution of the differential equation. dy = sinx…

A: option b is correct . see 2nd step.

Q: Make the Nonexact differential equation xy dx + (3y2 + 2x2 – 20) dy = 0 to an exact differential…

A: The solution is given as

Q: Find the general solution to the given differential equation. ( Use C for the constant of…

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Q: FIND THE GIVEN DIFFERENTIAL EQUATION Non Exact Eguation (xy + 1) dx tx (* + 4y - 2) dy - 0

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Q: Find the particular aolution of the differential equation with the initial condition given below.…

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Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION ху 1. (x + Vy2 + 1 ) dx - [ y + ] dy = 0 /y² + 1

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Q: 4. (y+ 2x) dy + dx = 0; x = - 1 when y = 0 %3D

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Q: The differential equation (-xysin x+2ycos xdx +2xcos x dy 0 is

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Q: Find the differential equation 3(x2 + y2)dx + x(x2 + 3y2 + 6y)dy = 0

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Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.…

A: Differential equations

Q: The integrating factor of the differential equation (x+x sin 2y) dy =2y dx js: A x-3

A: We will find the integrating factor as shown below

Q: A differential equation is: d2y/dt2=Ay2+Byt where y represents a distance and 1 is time. Determine…

A: Given differential equation is d2ydt2=Ay2+Byt The differential equation is of the form y''=f(y,t) We…

Q: Find the value of n that makes the differential equation xn (3x+4y)dx +(2xn+1 +2y)dy = 0 exact.…

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Q: Find the solution of the differential equation y" + y' = sin x -sinx +cosx а. y = C1 + C2 e¬x SX b.…

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Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.…

A: We obtain the differential equation of the family of straight lines with slope and y-intercept…

Q: Find the solution of differential equation dy/dx = -x/ye^x^2 with the condition that is initial…

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Q: Determine the particular solution to the differential equation dx dy = xy + x which satisfies y = 3…

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Q: dy Find the particular solution of the differential equation 4e* using the given boundary condition:…

A: Given : dydx = 4ex5y

Q: Find the differential equation of y(x-6y) dx-x(2x-9)y dy=0

A: Solution is given below:

Q: Solve the differential equation 2 dy dy 1+ dx dx2 assuming x > 0 and > 0. dy dx

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Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.…

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Q: The solution of the differential equation by variable separable method dy 3 + y?) (3x² + 6) is_ dx…

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Q: A differential equation is: d2y/dt2=Ay2+Byt where y represents a distance and t is time. Determine…

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Q: SOLVE FOR THE PARTICULAR SOLUTION OF EVERY DIFFERENTIAL EQUATION GIVEN. 1. x In x sec? y dy + [tan y…

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Q: =x+x* +1 satisfies the differential equation (x +1): dy Show that y dx

A: Given the given differential equation is x2+1d2ydx2+xdydx-m2y=0 and the given value is y=x+x2+1m.

Q: Solve the differential equation: dy 1 1 1)y – x +1 = 0, y1= ax - - dx

A: The given differential equation is dydx-y2x-21x-1y-x+1=0. Substitute y=ax in the above equation and…