Determine an appropriate substitution and then solve the differential equation. ху'%3D у In(ху)

Q: Solve the Linear first Order Differential Equation xdy - sin dx

A: See the attachment

Q: find the general solution of the pictorlal differential equation.

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Q: ya² +a³ Find the general solution of the differential equation

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Q: What is a separable first-order differential equation?

A: If in a first-order differential equation we can get the x terms on one side and the y terms on…

Q: find the timear form of this differential equation

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

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Q: ५ = (+गुंग्ट

A: Given- dydx=1+y2ex To Find- The solution of the above differential equation.

Q: what is the Non-exact differential equation?

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Q: Find the differential equation by rlimaniting the arbitary constants from

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

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Q: そリ-(ャ)cla aly-( メ?

A: A differential equation Nx, ydy+Mx, ydx=0 is exact if it satisfies the following condition.…

Q: An investor deposits $8000 into an account that pays 6% compounded continuously and then begins to…

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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: 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: Suppose that you now have $10,000 and that you expect to save an additional $4000 during each year,…

A: Given that, you now have $10,000 and that you expect to save an additional $4000 during each year,…

Q: Solve the differential equation. y' = 3x - y 3x – 3 + Cex

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Q: Solve the differential equation with clear steps

A: Given, system of differential equation is dxdt=3x-y-zdydt=x+y-zdzdt=x-y+z We can write it as in…

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

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Q: Determine the general solution of the differential equation

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Q: A differential equation is considered to be ordinary if it has more than one independent variable.…

A: Given the statement

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

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Q: y' = e2x-y

A: Solution is 2ey= e2x+C.

Q: Solve the differential equation using variation of parameters

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Q: Determine the differential equation of all straight lines with slope and x-intercept equal. Show…

A: Determine the differential equation of all straight lines with slope and x-intercept equal.

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: The _______ of a differential equation is the power of the highest orfer derivative term in the…

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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: determine the differential equation

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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: Solve the differential equation Y=3x+logP

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Q: y' = 2xy²

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

Q: ア+ニ= 5(x-2)yi

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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: Solve differential equation   y=5xy'

A: Given,          y=5xy'

Q: What is a first-order differential equation? When is a function a solution of such an equation?

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

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Q: Which kind of the differential equation is it

A: dydx=y' = x2y+y3x3+y3 is the given differential equation.    Degree of Numerator =3  Degree of…

Q: Solve the differential equation y'=secx-ytanx

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Q: yu+y=be" +bsinne +bsine.

A: Given DE is y”+y=6ex+6sinx solve the DE

Q: Solve the differential equation by undetemined coefficients y" – y' = -3

A: Solution- Given y''-y'=-3 ⇒dy2dx2-dydx=-3-----(1) dydx=m ⇒m2-m=0⇒m(m-1)=0m=0, m-1=0≠m=1 Distinct…

Q: Find the seperable differential equation

A: A differential equation dydx=f(x,y) is said to be a separable equation if the given function fx,y…

Q: Parents invest $28,000 in a college fund for their child and then contribute $500 per month. Create…

A: Given: The investment is $28,000. Also, $500 is contributed per month.

Q: y' = ysecx

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Q: Write a differential equation showing the family of lines with slope and y-intercept equal

A: Equation of lines is y=mx +c ; where 'm' is the slope and 'c' is the y-intercept.

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…

Q: Solve the Cauchy-Euler differential equation

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Q: Describe how to solve a first-order linear differential equation ?

A: First order linear differential equation :-  lets take an example :- y=x2+2 dydx= 2x This is first…

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.