Solve the given system of differential equations by systematic elimination. dx dt dy dt = 6x + 10y Need Help? = X- - 3y -4t. 1 -4t (x(t), y(t)) = ( c₁e¹t + c₂e-41; = = 0c₁e²t - c₂e Read It

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A: Consider the differential equation dydx=xy+3x−y−3xy−2x+4y−8 Hence,  dydx=xy+3x−y−3xy−2x+4y−8…

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Q: Example 2: Find the particular solution of (x – y)dx + (3x+y)dy = 0 when x = 2 & y = -1.

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A: The given nonlinear ODE is: Ay"+Byy'-y=0 where y=yx and A,B are constants.

Q: x' Find the solution to the system of differential equations: y' x(0) = 5 y(0) = 2 = y - x + t, Y,…

A: To find the solutions of the below differential equation,  a) x' = y - x + t         ,     x(0) = 5…

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

Q: Solve the particular solution of (xª + y³)dx – 2x° dy= 0 when x = 2, y = 3. -

A: We can rewrite the given equation as,  (xy+y3)dx = 2x3dy xydx+y3dx = 2x3dy

Q: Make the Nonexact differential equation xy dx + (3y2 + 2x2 – 20) dy = 0 to an exact differential…

A: The solution is given as

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Q: The complementary function(C.F.) of the differential equation(D – 7) (D+4)y= 7x is_ O (ci + c2x)e +…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: What is the differential equation of the solution y = C1e 9¤ + C2xe Ya -9x + C3e7¤ ? O y" + 11y" –…

A: To find the differential equation for which the given solution belong .