A) Solve the IVP: (3x − 4) + y = x ln 5x, y(3) = 3. - dy dx B) Discuss in detail the long term behavior of the solution. Question 2 [ Consider the DE: (4x - 3y)dx (3x -8y)dy = 0. A) Show that the differential equation is exact. Explain.

Q: Find the area bounded by the curves x²y = 4 and y = 7 – 3x. Select one: O a. 1/2 O b. 1/3 O c. 2/3 O…

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Q: The differential equation xdy - ydx = 1 B. X A. 2x³ dx can be made exact by using what integrating…

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Q: dy +y: da 20

A: The value of n is -2

Q: 8. Solve the differential equation (x+y)² dy = a². dx

A: Let x+y=t This implies 1+dydx=dtdx

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Q: xy2y' = x + 1.

A: answer is in step 2

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Q: Consider the differential equation -3 y' - ycos²(x) = (a) Sketch the direction field for this…

A: The direction field is the collection of small line segments passing through various points that are…

Q: Solve the differential equation: dy/dx=cos(x+y) when x=0, and y=pi/4

A: Solve the differential equation, using substitution method

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Q: Solve the following the exact differential equation : (3x^2y-6x)dx+(x^3+2y)dy=

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Q: a) Solve differential equation dx + 2 dy x³ cos y %| - y

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Q: Solve the exact differential equation (x* + y)dx +(3xy +1)dy = 0

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Q: y =Cjx +Cze* %3D

A: