The general solution of the differential equation Py' - 2y Inx ry" is

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

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Q: x + 4y3) dy- ydx = 0

A: We have to find the solution of the given non exact differential equation.

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: What form of the particular solution is appropriate for the differential equationy" - y'=4?

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Q: Obtain the Differential Equation from the family of lines whose slope is thrice the y- intercept.

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

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

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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: Write down a first order differential equation for the current in an LR-circuit to which a voltage…

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Q: Explain when Euler’s Method produces an exact particular solution of a differential equation?

A: Euler’s Method produces an exact particular solution of a differential equation?

Q: solve the differential equation by separation of variables. (2+2y2)y'=exy

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

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Q: find the solution of differential equation 2 y' +

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

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Q: Find general solutions of the differential equation    (2xsinycosy)y'=4x^2+sin^2 y

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Q: Find the general solution of the differential equation

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Q: y = Ae* + Be-*

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Q: From the differential equation by elimaniting arbitary constant y =ax'+ bx²

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

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Q: Give the differential equation of family of lines passing through (2,0)

A: Let the equation of  line be y= mx + c Now if the line pases through (2,0) then  0= 2m + c --> c=…

Q: Find the general solution of the differential equation.

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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: 4. eª y – ye" 2xy?

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Q: From the differential equation by elimaniting arbitary constant  y=ax3+bx2

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Q: Solve for the general solution of the given first-ordered Linear Differential Equation udx + (1 —…

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Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

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Q: yu) + 2y"+ y - x²sinx

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

Q: Determine the particular solution of the differential equation yi+yie(x/y}=+2x²e(z/y}? When y(0) = 1

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

A: Equation of straight line: y=mx+c Where, m = slope  c = y-intercept

Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Determine the solution for the differential equation ry = In(x) %3D

A: By using variable Sepraible

Q: What is SM of the differential equation (2a + 3) y' = (y + 2x +3) O}y + 2x +3) O1 + (2a + 3)-

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Q: Obtain the differential equation of the family of straight lines passing through (0,-1).

A: To Obtain the differential equation of the family of straight lines passing through (0,-1).

Q: Solve the first order linear differential equation. dy - (cotx)y = sin³ | dr

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Q: 4. Solve the differential equation by separable variable method, (ex + e-*): dx e-*) = y?.

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

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Q: Solve the differential Equation &Y"+y=nsion by using variation of parameter.

A: Given differential equation is ,                                  y" + y =  x sin(x)  Method of…

Q: Solve the differential equations using method of undetermined coefficient y"+y = x^2sin(2x)

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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 differential equation whose complete solution is y=c1e-x+c2ex+4x using elimination of…

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Q: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

Q: y' +y Inx = 0

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

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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.