OVESTION= Solve The ital valve problem y dx = 2u'dy- 2x'yde, y(1) =5 %3D

Q: Ordinary differential equation ( ey *sin(y)-2y*sin(x) )dx+( ex *cos(y)+2cos(x) )dy = 0

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Q: Solve for solution to differential equation. e^(x+y) (dy/dx) = e^(2x-y)

A: To solve the differential equation given by; ex+y·dydx=e2x-y Bring all the terms with x as exponents…

Q: y' – (cotx)y = -(2cosx)y-2

A: Handwriting solution

Q: dy+y=e

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Q: y(2x2 − xy + 1) dx + (x − y) dy = 0.

A: Given y(2x2 − xy + 1) dx + (x − y) dy = 0

Q: (x-4y)dx + (x+2y)dy = 0 DIFFERENTIAL EQUATIONS

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Q: dy 8. = dx 1 x+y+1

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Q: (x) dy 22

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Q: solution to this differential equation: xy(dx — dy) = x2 dy + y2 dx

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Q: xdy = (5y + x + 1)dx Ans: y

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Q: x'dy +xydx x²dy + 2y dx

A: Given problem:- x3 dy+xydx =x2 dy +2ydx

Q: Consider the differential equation Es y=x"-x a solution? Is y?x-l a solution? Fs y=x a solution? How…

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Q: Еxample 3: Solve the differential equation xy + 0. dx

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Q: solve linear differential equations dy 3y = X+2 dx х+2

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Q: (y^2−3−x)dy+ydx=0(y2−3−x)dy+ydx=0 Solve the differential equation using integrating factors by…

A: From the given differential equation: y2-3-xdy+ydx=0 So, we can also write as: y2dy-3dy-xdy+ydx=0

Q: owing differential equations, determine the general or parti dy 2+3x dx

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Q: dy %3D xp 1-

A: We have to solve the Bernoulli differential equation :  dydx + yx = xy4

Q: Differential Equation: Solve initial value problem dy/dx = y cos x /1+2y2 , y(0) = 1

A: Differential Equation:  Solve initial value problem

Q: dy = x sin x Jcosy dx cos y

A: The given differential equation is dydx=x sinx2 cosy The differential equation can be solved by…

Q: Ordinary differential equation) dx/dy = ( x-e-x )/( y+ey )

A: Solution :-

Q: ) (y nx) ny dx + dy

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Q: Show complete and detailed solution Solve the differential equation: xy(dx-dy)=x2dy+y2dx if x=2,…

A: The given differential equation is; xy(dx-dy)=x2 dy+y2 dx if x=2, y=0.

Q: +1)dy/dx+y=lnx If what method of differential equation

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Q: Solve differential equation dy/dx + y^2 = 2/x^2

A: Definition of differential equations helps to solve the given differential equation. An equation is…

Q: 2) Solve the differential equation y(r³ – y)dx – x(x* + y)dy finding an integrating factor.

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Q: differential solution.. dy/dx= 2x, what is why?

A: given,           dydx=2x

Q: DIFFERENTIAL EQUATION dy/dx=2yx+yx^2

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Q: (1²+x²) dt + (2tx – x) dx=0

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Q: solution to this differential equation: (y3+y+1)dx + x(x-3y2-1)dy = 0

A: We have the differential equation y3+y+1dx+xx-3y2-1dy=0 This is similar to the differential equation…

Q: ordinary differential equation with initial value problem y''''-y=0 y(0)=1 y'(0)=y''(0)=y'''(0)=0

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Q: Exact differential equation (8y – x?y) + x – xy² = 0 dx

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Q: dy = ay solution of differential equation is dx %3D

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Q: хуdx — (2x? + у?)dy — 0

A: Follow the procedure given below.

Q: Find the general solution to the linear differential equation dy/dx +2x y = x

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Q: 11. (y-x+xy cotx) dx + x dy = 0.

A: The objective is to solve the equation (y-x+xycotx)dx+xdy=0     A Linear differential equation is of…

Q: V1+x+y = (x +y– 1) %3D dx

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Q: dy 3x 23. X + (3x + 1)y = e dx

A: Topic:- differential equations

Q: x²y dx + y(x + e-3Ysin y)dy= 0

A: we will use Leibnitz's equation to solve it

Q: dy Question 5: Find the general solution of the differential equation 8x and the dx particular…

A: This is Separable differential equation

Q: dy. = | + X + xy +メ dx

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Q: (1+x*)dy + x(1+ 4y²)dx =0

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Q: 1. Linear equation of order one: dy-(r' -2xy dx =0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is not true for the differential equation y'+y/x^2=1/x^2? * it can be solved using the…

A: Given;  y'+(y/x^2)=1/x^2

Q: 2) Solve the differential equation y(r - y)dz – r(r* + y)dy = 0 finding an integrating factor.

A: 2) The given differential equation is,yx3-ydx-xx3+ydy=0

Q: linear differential equation dx/dy=1+2xcoty

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Q: 3. dy 1 (y - x°y!)dx = 0 x²y ') dx = 0 %3D dv

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Q: x dy + y dx = 3x²y² dx, y(-1) = 2

A: Rewriting given differential equation into standard form of bernoulli equation

Q: (x-3y)dx + (3x+y)dy = 0 DIFFERENTIAL EQUATIONS

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Q: Tonsider the differential equation dy with initial condition = ky dx y(0) = 50 and a nonzero…

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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.