State whether the given differential equation is linear or non-linear, ordinary or partial. Identify its order, dependent variable, and independent variable/variables. y' +y = x² - 2 Also, verify that y = ce™* +x² – 2x is a solution.

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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Q: Find the general solution for differential equation.

A: Use linear differential method to solve

Q: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

A: We have to eliminate arbitrary constant a and b by differenciation

Q: determine the general solution to thegiven differential equation. Derive your trial solution…

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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: differential

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Q: Find the product solutions for the differential equation a²uxx = -u¿ using separation of variable…

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

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find the general solution of the differential equation or state that the differential equation is…

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Q: Solve for differential equation (3x2-2y2)y1=2xy

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Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: Form the differential equation by eliminating A and B from Ax² +By² = 1.

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Q: What differential equation has general solution  y=c1e^(5t)+c2te^(5t)?

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Q: What is a separable differential equation? How do yousolve it?

A: In a separable differential equation, we separate the variables and then take the integration of…

Q: A chemical reaction is governed by the differential equation

A: Given, the differential equation                           dxdt=K(3-x)2 where x is the concentration…

Q: Form the differential equation by eliminating arbitary constant :y=ax3+bx2

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Q: The solution of the differential equation using variable separable  dydx+7secy=

A: To find the solution of differential equation dy/dx+7secy=0

Q: Find a linear differential equation with constant coefficients satisfied by e2x, e-x, e3x and e6x

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Q: Find the ordinary differential equation from the general solution: y = Ae-* + Be-*

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: Form the differential equation by eliminating arbitary constant  y=Ae-3x+Be2x

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Q: y' = (x+y– 2)² (х-у)?

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Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: -3-x+x. y (0) -2. y(0)

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Q: Solve the general solution of the second order linear differential equation with constant…

A: rewriting the equation we get  y'-1t2-1y2=-1t2-1

Q: yu) + 2y"+ y - x²sinx

A: The given differential equation is: y(4)+2y''+y=x2sin x

Q: Find the solution of the differential equation using Variation of Parameters.

A: Given differential equation is y'''-3y''+3y'=exx The solution of the differential equation using…

Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Solve the first order differential equation by separating variables.

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Q: Solve the differential equation using Separable of variables.

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Q: Find the general solution of the 2nd order Differential Equation using Variation of Parameters.

A: We will find the general solution of differential equation by using variation of parameters as shown…

Q: Solve using the undermined coefficient of differential equation

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Q: Solve this exact and linear Differential equation in y.

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Q: m the differential equation by eliminating arbitary const

A: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

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

A: Consider the family of straight lines with slope m and y-intercept c in slope-intercept form as,…

Q: Determine the particular solution that satisfies the differential equation and initial condition…

A: General solution of the differential equation

Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential…

Q: y² = 14eax-

A: Given y2=14eax

Q: Form the differential equation by eliminating arbitrary constants:y=ax3+bx2

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Q: . Give an example of a nonlinear differential equation of the formy = f (y).

A: Solution: Nonlinear Differential Equation: A nonlinear differential equation is a differential…

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: (D² − 4)y = 8e²x – 12 -

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Q: Find the equilibrium point(s) for the differential equation y" =y - y2 and determine their stability

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Q: Use variation of parameters to solve the differential equation x²y" + y = x. [Leave u₁ and u₂ in…

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Q: equation

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Q: When is an equation considered as a solution of  differential equation?

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Q: Solve the Differential Equation using METHODS OF UNDETERMINED COEFFICIENT: y''+y'-3y=4sin2x

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Q: .Determine the differential equation by eliminating arbitrary constants and also write the order

A: Given: y=c1x+c2x+x3-7x2+27x-60+60xex                                                 Equation 1 On…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.