Solve the given differential equation. y(u² + 2)du (u³ – u)dy = 0 3 %3D O (u² + 1)° = Cu*y² O (u² – 1)* = Cu²y* O ° = Cu*y² Cuʻy? %3D (u² – 1) O (u² + 1)* = Cu³y* 42 %3D

Q: The integrating factor of non-exact differential equation (æ³y³ – x®)dx – (y6 – x³y)dy= 0 1 xty3 +…

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Q: dy The general solution of is da O 2x3 + a²y? = C O 2x3 = C 2y3 + a?y? = C O 2y3 = C (E) +

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Q: The given differential equation is

A: Given, 5xd3ydx3+3dydx-6y=sinx

Q: =rential equation is one of the form dy dx or 1, the Bernoulli equation is linear. For other values…

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Q: Solve the differential equation e sin 2y dx - 3x-cos 2y dy A - 3ln(sin 2y) = C B +3 In(cos 2y) = C…

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Q: Bessel equation d²y dy +2x- + (x² – 4)y = 0. dx? dx

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Q: Solve the following differential equation: (x+2y)(dx-dy) = dx + dy Select one: O a. None O b.…

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Q: me complementary function(C.F.) of the di O (c1 + c2x + czæ²)e4z P (c1 + c2¤ – czæ²)et= - O (c1 +…

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Q: 1.1 (x + siny)dx + (xcosy – 2y)dy = 0

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Q: Identify the linear differential equation. d'y 3 + ( – 1) + a*y = 5 + x?y = 5 dz? dr4 O 5y" + 4xy'y?…

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Q: Solve the differential equation. dy = e5x - 5y dx O y = In (e5x + C) O y =In (e5x + C) O y = 5ln…

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Q: Solve the differential equation: Cos(x)dx + ( sin(x+y) + sin(x– y))dy=0 Hint: sin (A ± B) =sin A cos…

A: Given differential equation  cos(x) dx + {sin(x+y) + sin(x-y)}dy    Using identity of sin(x+y) and…

Q: (3 + y + 2y²sin²x)dx + (x + 2xy – ysin2x)dy a. F = y? + x? – 4xy – 6x – 2y2 + C b. F = x?y? + x² –…

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Q: Pu Pu n. %3D dy? is cos (r – y) -3r sin (x – y) e (x+ y)? sin (x – y)

A: In these type of questions there may be more than 1 options. Check all the options.

Q: Solve the differential equation [2y + + e* (1+)°]dx + (x + 2y)dy = 0.

A: The solution is given as

Q: dy — х) %3D У(у + x) 2 - х(у dx

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Q: Given the differential equation (E3): (3x²y + 2xy + y®)dx + (x² + y²)dy = 0. The integrating factor…

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Q: Exercise: Write the order and the degree of the following differential equations: d?y dx2 2 - x2 dx2…

A: Order of any differential equation is the power of highest derivative term present in the…

Q: Determine whether the given differential equation is separable. dy = 5y² - 4y+1 dx Is the…

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