Use Green function to Solve the following IVP 44't3y= flx) i yco) = 0 ,y(6) = 1 where X

Q: dy _ 4 y – 3x dx 2x- у | !!

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Q: Obtain the Differential Equation from the family of lines whose slope is thrice the y- intercept.

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Q: Solve the given differential equation. dx/dy = -( (4y^2+10xy)/(5y^2+2x) )

A: Given DE is dxdy=-4y2+10xy5y2+2x. Solve the DE as follows.

Q: 4. y(4) + 17y" + 72 = 0.

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Q: (3x* – 1)y=x- Zx° †X 2. Find the differential equation of all straight lines at 2- unit distance…

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Q: Assume that a population, P, is changing at a rate inversely proportional to 50 + P. Does it make…

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Q: y" + 4y = sin ³x

A: We need to solve D.E.

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: Solve the differential equation: 2 1 x²y'' 2y Xx -

A: The given differential equation is x2y''-2y=x-1. Solve the given differential equation. The solution…

Q: dy VI+x = y° (y + x) (Bernoulli) dx,

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Q: ELIMINATE THE ARBITRARY CONSTANTS y = x² + ax + be¯*

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Q: 3. t²dy = (8ln²t – ty)dt

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Q: (x5 + 3y)dx - xdy = 0

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Q: dzy d + 3- 4y = x? B: Solve the differential equation:

A: Given: d2ydx2+3dydx-4y=x2...(1) So, we can also write as: D2+3D-4y=x2 So, the auxiliary equation is:…

Q: Suppose the rate of change in population in our country is directly proportional to our present…

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Q: Evaluate the Differential Equation by Integrating factor. Solve: xy' = 3y + x^4_y(1)=7 Find the…

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Q: Solve the following differential equation. y + y +y=x²-2x

A: We have to solve the given differential equation.

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

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Q: Chassify and reduce the equation to Canonical form.

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Q: What the differential equations, are why applications? we use the m, write Some

A: An equation involving a function and one or more of its derivatives. If a function has only one…

Q: Solve the following differential equation. 3 du + +12y = 4

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Q: 3. (x + y - 6) dx + (x -y + 4)dy = 0.

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Q: Please provide explanation every step in solution. Provide simple explanation in the right of every…

A: Problem 1 :- x + xy =C;   C is arbitrary constant. x + xy =C…

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

A: We know that the rate of change of a function with respect to a variable is called the derivative of…

Q: Q3. Suppose 10 grams of Pu-239 were released in the Chernobyl nuclear accident. How long will it…

A: The half-life of Pu-239 is 24360 years. We have to find the time when y =1.

Q: 1=6 | = X x + ₂ ht ₂ x 1 + x) dx + xydy = 0

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Q: y" + y = csct cott

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Q: Solve the differential eguation 3-

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Q: Find appropiate in tegrating and solve the equation an 3 323? dx + こ

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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.