Find general solutions of the differential equation  x^3y'=x^2y-y^3

Q: Find the general solution for differential equation.

A: Use linear differential method to solve

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

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

Q: 3) yy +x²(sinx)³ = y³cotx %3D

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Q: Find the General Solution of the Differential Equation given below using Exact Equation

A: To solve the given differential equation: yexy−1ydx+xexy+xy2dy=0,y1=1

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

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

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Q: Explain the steps to determine the a single particular solution of anonhomogene linear differential…

A: Consider a second order non-homogeneous linear differential equation with constant coefficients,…

Q: Show complete solution Obtain the differential equation associated with y=Ae2x+Be2x+Ce3x

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

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Q: Solve the differential equation with appropriate method. Finalize answer equated to y. y' = 2xy - x

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Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

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Q: (х +у—4)dx — (х — у + 2)dy %3D0 -

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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: Find the general solution of xy' + y = y2lnx Bernoulli's differential equation.

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Q: Consider the first order differential equation

A: Given, the differential equation,                          1xndydx=y2(x)where n∈ℕ.

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: What is the difference between a particular solution and a gen- eral solution to a differential…

A: Our Aim is to tell the difference between a particular solution and generalsolution to a…

Q: (D² + 4)y = Sinx

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Q: Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of…

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Q: Use the varnation of parameters method to solve the differential equation 1. y"-y =

A: The detailed solution is given below Thank you

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

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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: Use separation of variables to find the general solution of the differential equation. 6 cos(tx) xp

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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: μ (x, y)=xayb and find the general solution to the equation

A: Here we have to find out both integrating factor and general solution.

Q: y In(x) ln(y)dx + dy

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Q: Use separation of variables to find the general solution of the differential equation. (6 + x)y' =…

A: Please refer the attached image for complete solution.

Q: Use separation of variables to find the general solution of the differential equation. 2x dx

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Q: Use variation of parameters to find a general solution to the differential equation: y"+y=sec (2)…

A: Variation of Parameters: Let y''+p(x)y'+q(x)y=r(x) be a second order non-homogenous ordinary…

Q: Determine the differential equation of the family of lines passing through the origin. (SOLVE BY…

A: Lines passing through origin can be taken as Y=mX

Q: Find the general solution for the differential equation

A: Given: The given differential equation is X'=45-26X

Q: Write the general solution of (x² – x)y" + - 2x) y' -y = 0 about x = 0 of Hypergeometric…

A: Compare the given equation with the Hypergeometric equation of the form x1-xy''+c-a+b+1xy'-aby=0,…

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

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Q: Find the particular solution to the differential equation y'=2x passing through the point (2,7)

A: given differential equation is y'=2x we can write it as dydx=2xdy=2xdxy=x2+c

Q: Use separation of variables to find the general solution of the differential equation. (9 + x)y' =…

A: We have,

Q: use the method of variation of parameters to find a particular solution of the given differential…

A: To solve the following differential equation using the method of variation of parameters to find the…

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: y' + 2y = cos(2x)

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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: y = ry' – In (y')

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Q: Solve the given differential equation by separation of variables. ds dr = KS

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Q: Use separation of variables to find the general solution of the differential equation. dr 0.03r ds

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Q: y' +y Inx = 0

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Q: Describe the separation-of-variables technique for obtainingthe solution to a differential equation.

A: To describe the separation of variable technique.

Q: Use separation of variables to find the general solution of the differential equation. (5 + x)y' =…

A:

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

A: y2 dydx=sinx sperate the variables y2 dy=sinxdx

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.