Solve differential equation  [Sin(xy)+xycos(xy)+2x]dx = [x^2cosxy+2y]dy

Q: dy - sin x - y tan x = 3 e dx solution of differential equation is %3D

A: Introduction :

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

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Q: 3) yy +x²(sinx)³ = y³cotx %3D

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Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION 3. (x + 3)cos ydx - [siny In(5x + 15) - y] dy = 0

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Q: first-order

A: Given : y' = x9y + sin(x) The standard form of first order differential equation is  y' + p(x)*y =…

Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: differential

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Q: dy + ycotx = 1 dx 2.

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Q: Find the solution to Integro-Differential Equation.

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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: d) sin(x)y' + cos(x)y = tan(x)

A: We have to solve

Q: y' + 2xy = 0

A: y'+2xy=0

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

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

Q: %3D siny(x + siny)dx + 2x²cosydy = 0

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Q: Solve the differential equation below: xcosydy+sin2ydy-dx=0

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each…

A: According to question,Given differential equation,y4x + y  dx -2x2 -y dy = 0

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

A: Explanation of the answer is as follows

Q: Solve differential equation (x2-2xy)dy=(y2-2xy)dx

A: Solution:-

Q: find solution of this differential equation:  y′ tanx sin2y = sin^2 x + cos^2 y

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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: Using linear first order differential equation, solve for the general solution of dx dy Y sin x cos…

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

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Q: ind solution of order differential equation  dy/dx=(x+2y-3)/(2x+y-3)

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Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y = "

A: The given differential equation is solved below in detail.

Q: The general solution of the differential equation by direct method: dy sec2 x dx 1+ 2 tanx y =…

A: According to the given information, it is required to find the general solution of the given…

Q: Solve the differential equation Integrating Factor by Linear Equation: y' + X. (4)» = * y = x+

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Q: 3. x'sec'ydy - (1– 2x'tany)dx = 0

A: Given,  x3sec2ydy-1-2x2tanydx=0------1 We will solve this with the help of exact differential…

Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: Use integration to find a general solution of the differential equation

A: Given: dydx = xex2  To find: General solution of the given differential equation.

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: 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: Solve Differential equation (x2-2xy)dy=(y²-2xy)dx

A: Solution: The objective is to find the general solution to the given differential equation

Q: Find the differential equation of all family of straight lines at a fixed distance p from the…

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Q: Q-2. Form the first-order differential equation of ey = sinx

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Q: solve linear and bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

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Q: dy COS X + y sin x = sec² x dx solution of above differential equation is

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Q: Find general solution of differential equation. Enter transient terms if any. x^2y' + xy= 7

A: Here we will find out the required general solution for given differential equation.

Q: Solve the differential equation y y' = - + sin sin ()

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Q: Solve differential equation dy=yt method by 2nd order Runge-Kutta and fourth order Runge-Kutta

A: Given the differential equation is dydt=y2t

Q: Obtain the differential equation for the family of straight lines with x-intercept and y-intercept…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: Find the ordinary differential equation of a circle which passes through the points (0,0) and (2,0).

A: We will find out the required differential equation for given circle.

Q: Solve differential equation (2y cos y - x sec y - x tany)dy = (1 + sin y) dx

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Q: Solve the differential equation tan x- dy ey-cotx dx

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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: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

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Q: Find the differential equation corresponding to y=acos(logx) +b sin(logx)

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Q: (1+ cosx)y' = sinx(sinx + sinxcosx – y) |

A: 1+cosxy'=sinxsinx+sinx cosx-y On simplification, we get ⇒1+cosxy'=sin2x+sin2x…

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.