Find the solution to the following Bernoulli's equations. y3 sec x dx - y tan x dx dy Ans. cos?x = y²(C – 2 sin x) %3D

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Q: If the solution to e2x sec2(e2x+1)dx is equal to k tan (e2x+1) + C, find the exact value of k. 1 A…

A: This question can be solved using the concept of integration by substitution.

Q: Q4) Find the complete solution of the following equations: a) y" +3y' = sin x + 2 cos x (15)

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Q: - the solution of the following O.D.E y' = cos(x) +y

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Solve the Bernoulli's equation given below: dy -ycot 2x dx 3 CSC 2x ( )」 Sn 2メ= ーメキC a. C-2) Sin 2x…

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Q: Is the following equation exact? (2x sin(xy) + x2 y cos (xy))dx + (x3 cos(xy))dy = 0

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Q: The general solution of the DE dx = cos?y is A y= sec?x В y=tanx + C y=tan-1(x) + c y= cos os-(x) +…

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Q: The solution of the following Bernoulli's equation xy' + 2y = x¹(cos x) y² is

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Q: The answer to this equation is y = (1/5)e^x + {(1 – (2/5)sin x – (6/5)cos x}e^–x Answer this using…

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Q: If the solution to fe sec (ex**)dx is equal to k tan(e**) + C, find the exact value of k 1. 2e 2e…

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Q: Solve the Bernoulli's equation given below: dy dx ycot 2x ミ CSC 2x a. Sin 2x = -メ+C C~の) Sin 2x =…

A: Given that, The bernaulli's equation is, dydx-ycot 2x=y3cosec 2x We have to solve this equation.

Q: The special solution to the equation y(x) =G, sin(x) + C, cos(x) + In]sin(x)}sin(x) – x cos(x) (D…

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Q: Question 2: Find the solution of the given DE (2xy cos(x?) – 2xy + 1)dx – (sin (x?) – x?)dy = 0

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Q: Find the solution to the following Bernoulli's equations. 1. y3 sec x dx - y tan x dx = dy

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Q: Find the complete solution of the DE D´ (D– 1)y = 3e* +sin x.

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Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint:…

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