classify the y'ty&e-o differantial equation and find its generad solution.

Q: 1. у" — 4у 3 2+ 3х — х2

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Q: Form the differential equation for the function 2x-y-Dasin(2x-b)

A: See the attachment

Q: Find general solutions of the differential equation    (x+y)/y'=x-y

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Q: 3. Find the differential equation of a family of parabolas with axis parallel to the x-axis.

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Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: Give an example of a linear, nonseparable differential equation.

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Q: Show complete solution Differential Equation: ydx-xdy=y^2dy

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Q: Use separation of variables to find product solutions of the partial differential equation, ди + əx…

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Q: y' = 4x(2y-y)

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Q: Solve the Differential Equation using VARIATION OF PARAMETERS: y''+y'-3y=4sin2x

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: 5. Find the solution of the differential equation using Variation of Parameters. у" - Зу" + 3у - E

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

Q: Find the general solution of the differential equation. y (4) - y = 8t + cost.

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Q: Reduce the differential equation: x2(y-px)=yp2 to chairaut form and find its genenral solution

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Q: Find the approximate height of the curve y = x3 – 2x2 + 7 at the point where x = 2.98. (SOLVE BY…

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Q: Solve the differential cquation d'y by using the method of variation of parameters.

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Q: Determine the form of a particular solution for each differential equation. y'' - 2y' + y =…

A: We have to determine the form of a particular solution for each differential equation.…

Q: Find the differential equation of the family of parabola with vertex and focus on the x-axis

A: The given question is related with parabola. We have to find the differential equation of the family…

Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters)

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Q: Find a differential equation whose general solution is y = cjet + cze-". = 0

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Q: Find a differential equation of the family of parabolas with vertex on the y-axis, with axis…

A: Let the vertex is at a point (0,k). Then, the expression of the family of parabolas with axis…

Q: Find x for which the line tangent to the parabola y = 4x – x2 is horizontal.

A: In this question, we need to find the value of x at which the tangent line is horizontal.

Q: Solve the High order differential equation by using Variation of Parameters Method y(4) – 2y" = 4x

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Q: Find the general solution for the differential equation: 3- y" + 9y = sec2(3x) %3D

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Solve the differential equation by variation of parameteres: y'' + y = csc(x)

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Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

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Q: Find the general solution of the inhomogeneous equation y" + 3y' = te'.

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Q: solve

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Q: Solve the differential equation = by the method of separating the variables. %3D

A: Given : dydx = 13y2

Q: 4. Find the Differential Equation and Orthogonal Equation of the family of parabolas with vertex and…

A: Let the vertex lies at (a,0) and focus at (b,0) So the general equation of parabola having axis as…

Q: What are the order and degree of the differential equation representing the family of parabolas y2 =…

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Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: Find the differential equation of the family of parabolas with vertex ar Focus on the x-axis * O y =…

A: We have to find

Q: Obtain the differential equation: Parabolas with vertex on the y-axis, with axis parallel to the…

A: This is a differential equation problem

Q: equation

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Q: Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

A: The differential needs to convert in the standard form.

Q: State whether the given differential equation is linear or non-linear, ordinary or partial. Identify…

A: Consider the differential equation  y'+y=x2−2             ......(1)

Q: Find the equation of the line tangent to y = x2 – 3x – 5 and parallel to the line y = 3x – 2.…

A: Explanation of the answer is as follows

Q: Find the solution on the differential equation using suggested substitution.

A: The given differential equation is:yxtanx+lnydx+tanxdy=0We need to solve the above equation.

Q: Find the differential equation of the parabolas with vertex on the x-axis and axis of symmetry is…

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Q: Use the method of variation of parameters to find & particular solution of y" – 2y + y = and write…

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Q: Find the solution of the differential equation system

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Q: 2. Find the differential equation having the solution as the equation representing all lines with…

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Q: Find the solution of the system of differential equation

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Q: Find the differential equation of Parabolas with vertex on the x-axis, with axis parallel to the…

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Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: y' = ycotx + y²cscx

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Q: find the differential equation of a family of parabolas with an axis parallel to the x-axis

A: We have to choose the correct answer from the given option according to the given condition

Q: using partial differential equ

A: Charpit's auxiliary differential eqs are