2. Solve the given differential equation by separation of variables. (e' I l}°e * da 1 (e* | 1 dy = 0 2. x(1 + y²)"² dx = y(1 +x²)² dy

Q: 2. y2 y" + (y')³

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Q: Is the following a homogenous differential equation? dy/dx = (x2y-y2x)/(x3-y3)

A: Let's find

Q: Solve the differential equation 2 ď²y dy + 4y = cos(ln x)+x sin(ln x), r > 0, dr dr? by using the…

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Q: O Solve the differential equation y' + y cot x = y* sin x.

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Q: xE (0,+0) defined in the range d’y +2y = sin(x) + e ²* The differential equation dx dx a) Write the…

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Q: Find the solution to the differential equation: cosxcos ydx + sin x sin ydy 0 a. cos x = C'siny O b.…

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Q: Write down the differential equation that describes the total amount of pollutants P(t) in the tank…

A: Let's denote the following variables:P(t): the amount of pollutants in the tank at time t.Q_in: the…

Q: Use the technique of separation of variables to solve the following differential equation: y' + y²…

A: Given differential equation is .We have to solve the differential equation using separation of…

Q: e identity: cos 3x = 4 cos x-3 X So

A: # we are entitled to solve one question at a time please resubmit the other question if you wish to…

Q: dy/dx=(y+7)(y-7), where y(0)=10. Solve the differential equation.

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Q: x^2(y')^2 + 2xyy' -15y^2 = 0. Find general solution

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Q: (Siny) (dy/dx) – 2Cosy. Cosx + Cosx = 0  find type of differential equation and get the general…

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Q: solve the below differential equation: y''2+y'y'''=(y'/x)2

A: Given the differential equation  y''2+y'y'''=y'x2 To solve this differential equation.

Q: Find the general solution for the following differential equation: y'' -3y' +2y =cos⁡〖e^(-x) 〗

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Q: A tank contains 80 kg of salt and 2000 L of water. Pure water enters a tank at the rate 10 L/min.…

A: A tank contains 80 kg salt and 2000 L of water. Pure water enters a tank at the rate 10 L/min. The…

Q: y' = xcosecr + y cot r.

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Q: Solve the differential equation e'y (x+2) (x²–1) * dx

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Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

A: Conversion of  differential equation into voltera integral equations

Q: dy xy' = 6y + 12x*ys, (y' = dx

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Q: Consider a differential equaUion -x2 y' = xy + xe

A: we have been given a differential equation with initial condition y(0)=0 y'=xy+xe-x2

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.