Solve the initial value problem. y cos Ꮎ 1 dy dy Ꮎ ᏧᎾ 3 y + 1 , y(x) = 1

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A: a. The given problem is                        y'=ytanx-y2secx ; x∈0,π2

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Q: 2. Obtain the general solution to the equation dy dx x sin x y cos y

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Q: 6. 3+(e*+3) sin x y tan(x³)-x

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A: we need to integrate ∫0πe-tcose-t dt   we can do this integration by substitution.

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Q: B) Find the general solution of the equation by using (Undetermined Coefficients method) d'y dy de =…

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Q: 2. Solve dx2 d²y for x = u? + 1 and y = 3u3 – 3u in terms of the parameter u. -

A: Given query is to find indicated derivative.

Q: cos(x + y) dx + [3y² + 2y + cos(x + y)]dy = 0 %D

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: Solve (y cos x – 3x²y – 2x)dx + (2y sin x – x° + In y)dy = 0 Solve x sec (ry)dy = -[y sec (xy)…

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Q: Write each equation in the form M(x)dx + N(x)dy = 0 test for exactness and solve those equations…

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Q: dy - y cos x dx = y ln [yedk COS x]

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Q: I Solve the fllowing FODF 2y(x+y+2) dx + (y²-x²_ 4x-1)dy = o when x=2,y= 3

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Q: (4e²+7x°+5 cos z + 2)dx

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A: Topic = Differential equation

Q: p cos (x + y) + q sin (x + y) = z

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Q: cos 2y dy sin y

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Q: Consider the following initial value problem and without solving the equation determine the largest…

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Q: CoS y By-2) dy

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: 2. Solve dy dx = e 5x + sin 3x + 2x; y(0) = 2

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Q: (x² + y sin(xy))dx + x sin(ry)dy = 0. %3D

A: Given equation is exact. Answer is x3 /3 -cos(xy) =c

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Q: Solve the Bernoulli's DE: (x°y3 + 1) dx + x4y2 dy = 0.

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Q: Solve the D.E. 3 2 y sin ex-³y ros²x de ²

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