-(-4x+4*y)dx+(-y+x-2)dy=0 Find the general solution of the differential equation. Since y=1 for x=0, find the y value for x=1.

Q: The differential equation below models the temperature of a 87°C cup of coffee in a 21°C room, where…

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Q: xy' = y + xe/x

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Q: Find the general solution by undetermined coefficients.  y'' + y = 2x2e-x.

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Q: (2x-3y-7)dx=(x-2y-4)dy Determine the type of differential equation and  find the general solution.

A: Non-homogenous differential equationdefinition:-The differential of the type…

Q: Find the solution to the equation y' - y = x2y2

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Q: Solve y" + (y')² = 0.

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Q: 3. (2xy-x+2y- 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A: See answer below.

Q: A red wine at room temperature 70°F is chilled in ice (32°F). If it takes 15 minutes for the wine to…

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Q: y"" + 3y'' − 4y = 0. Find y . Please check the equation carefully and then start

A: We have given equation y''''+3y''-4y=0   Auxiliary equation of differential equation is  m4+3m2-4=0…

Q: y' = 4x(2y-³-y)

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Q: ay +1= e**y Solve Y dx

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Q: Q3: Solve the following differential: y" - 4y + 5y = x *******

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Q: x(y')2 - 2(y')3 - 2x - y = 0 find the general solution of the equation

A: Given differential equation is, xy'2-2y'3-2x-y=0 Let, the given equation be, y'=dydx=p Thus,…

Q: If Yi - 2cosinx and ya-2 sin lnx are two solutions of a second linear differential equation. Then…

A: We use the definition of the Wronskian to answer the given question.

Q: The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where…

A: NOTE: Refresh your page if you can't see any equations. .

Q: The rate of change of the weight of a cow is proportional to 1200 W, where time, t, is measured in…

A: We want to find differential equation of W(t).

Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

Q: d?y %3D = 4(1+3x)² if y = -1, y' 2. Find the particular solution of the differential equation -2…

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Q: A 100,000 liter tank of pure water was accidentally mixed with a 7000 liters of salt with a…

A: 1st we will make a differential equation for amount of salt in the tank and then will solve it to…

Q: Find the solution. y'+ ty = ty3

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Q: The proportion of people in a community infected with a virus that stays active for two weeks is x…

A: The complete solutions are given below

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

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Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

A: Given:- 2x+3y'=y+2x+31/2

Q: Solve for y. y' = 7x + xy​; y = - 4 when x = 0

A: Given,  y'=7x+xy,  y=-4 when x=0

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.