What is the general solution of the differential equation 2xyy' y? - 2x³ ?

Q: Find the general solution for differential equation.

A: Use linear differential method to solve

Q: What is a particular solution of a differential equation?

A: Particular solution: particular solution of a differential equation is obtained by known value for x…

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: The differential equation y'= x – 2xy can be solved by two methods. These are:

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Q: What is a modeling with differential equations?

A: Modeling is the process of writing a differential equation to describe a physical situation.

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

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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: what is the Non-exact differential equation?

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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: can you give an example in real life, where differential equations are applied?

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Q: Find the differential equation of straight lines with slope and x –intercept equal.

A: Recall:  The equation of straight line is y=mx+b where, m=slope, b=y-intecept   Given, slope and x…

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

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Q: Which curve solves the differential equation and passes through the point (0,1)?

A: Using variable separable for solve differential equation.  Let -x2=t then taking integration on both…

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

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Q: What could be an integrating factor in solving the differential equation (1 +x*)+(1-x)y = xe* ? +(1–…

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Q: y" tuy=3(sct

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

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Q: Find the differential equation associated with y = clx^2+ c2x + c3

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Q: 3x2y +y2 2x3+ 3ху dy

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Q: Solve for differential equation of (y/x + 6x) + (ln x - 2)y′ = 0

A: Explanation of the answer is as follows

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

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Q: find the general equation of the differential equation

A: As per the honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: Find the 3rd derivative of y = xlnx. (SOLVE BY USING DIFFERENTIAL EQUATIONS)

A: Given : f(x) =y= x lnx To find : Third derivative of given function

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: Solve the differential equation 2xyy' = 1 + y". If y = 3 when x = 2, determine y when x = 1.

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

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Q: yu) + 2y"+ y - x²sinx

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

Q: Give two examples of your own for order and degree of a differential equation

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Q: What is the differential equation of all parabolas with axis parallel to the y-axis?

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Q: From the differential equation by eliminationg the arbitary constant A,B from y=Ae/x+Be¬-7x +Be-7x

A: To form the differential equation by eliminating the arbitrary constant

Q: Solve using the undermined coefficient of differential equation

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Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

Q: y = Clx+ C2e

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Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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Q: What is Type of a DIfferential Equations?

A: There are four type of differential equations,  1. Ordinary Differential equation. The ordinary…

Q: y' = 2xy²

A: Given: y'=2xy2We need to solve the above differential equation.

Q: y² = 14eax-

A: Given y2=14eax

Q: In which form first-order linear differential equation can be written ?

A: A general first-order differential equation is given by the expression dydx+Pxy=Qx, where Px and Qx…

Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: Determine whether the differential equation (2− y′)/ y= 5x is linear. Explain your reasoning.

A: To determine whether the differential equation (2-y')/y=5x is linear.

Q: From the differential equation by elimanating arbitary constants  y=ax3+bx2

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

A: topic - differential equations

Q: equation

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

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