Solve the differential equation. dy x=y + (x 2 - 3) 2 A y= x4- 6x 2.9+ cx B y x4- 18x In x+ cx y=x+-x2-9+cx D y= x3- 6x -

Q: The differential equation for which sin¬ x + sin¯ y = C is given by V1- x²dx + /1- y² dy = 0 b. V1-…

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Q: xy(dx + 9dy) = 2(3y² dx + x²dy); y(1) = 1

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Q: Determine whether the statement " If y = f(x) is a solution of a first-order differential equation,…

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Q: Solve the differential equation subject to the initial conditions. y+y=2e: y = 11 when x = 0 Oy-11e*…

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Q: Find the differential equation of the following function (x – 2)dx + 4(x +y – 1)dy = 0 a. 2(y + 1) =…

A: Let's find.

Q: Solve The differential equation X (Ý) + 2 XÝ -yeo OLLI of

A: Solution:  The given differential  equation  is  (xy'2+2xy'-y)=0…………(1)…

Q: The differential equation x*y + 3xy = 2y? + 2x? has a solution of the form f(x, y) = 2 g(x) + C.…

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Q: B十西

A: given yn+1=n+3n+2yn claim- solve the differential equation

Q: Solve the differential equation: x²y"-6y = x -2 Use C and D as your coefficients. You may assume x >…

A: Given that differential equation x2y''-6y=x-2x2D2y-6y=x-2x2D2-6y=x-2     ----1put  x=ez  ⇒z=lnxLet…

Q: Solve the differential equation / + a + 3 4y = (x+ 3)5 %3D where y 5 when aD 0. %3! v(a) = %3D

A: Solve the given differential equation using Integrating Factor.

Q: Am.800.

A: To solve the system of differential equations provided in the image, we can approach it as a system…

Q: Joanna is investigating how a harmful substance from pollution is absorbed by the human body. She…

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Q: d³y d?y dx3 dx2 =0 is given by %3D The solution of the differential equation

A: Given : d3ydx3 + d2ydx2 = 0

Q: Solve the differential equation: (x + y)dx + (x + y²)dy = 0 By using the exact equation.

A: Firstly we comparing the differential equation with P dx+Q dy =0 then we check it is exact or not…

Q: у (2ху+1) dz +a (1+2ху— г3 у?) dy 3 0 (1+ 2гу— а* у) dy %3D0

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Q: Solve the differential equation y – 5y/" + 6" + 4y/ – 8y = 0. Oy = cer + czxe²" + cze¯* + c4xe O y =…

A: We need to solve the given differential equation. This can be done as follows:

Q: =C2e(-2x) - 6xel-3x) - 5e (2x) + C₂e(-2x) + 6xe(-3x) + 5e (2x)

A: option A is correct answer

Q: -x2 Solve the differential equation xsec 2ydx + e by separation of variables. dy=0

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Q: What is the general solution of the differential equation xy - xex² 2x²y? O y = xe ² + Ce-2² O y =…

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Q: Solve differential equation 3x ý – 3ý = e3* – 12x+39 -

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Q: Match the general solutions to the differential equations. (D²-18D+81)y=0 ✓ (D²+14D+49) y = 0 ✓…

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Q: Solve the differential equation dy = 7+ e4-7x+8 dx Give your answer an explicit solution, and use c…

A: Solution of the given question is like as

Q: 4y³ (x² + 4) dy + 4xy¹ = (x² +4)² dx

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Given that 7x+3ydx+3x-8y3dy=0

Q: Determine the total solution of the differential equation (D²+8D+16)y = 64cos4x.

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Q: Solve both the differential equations. 1) (y² + 1)dx + (2xy+ 1)dy = 0

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Q: Match the general solutions to the differential equations. ✓ (D² - 18D+81)y=0 (D²+14D+49)y=0 •…

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Q: The correlation between concentration C(t) and temperature T(t) for a chemical reaction can be…

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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.