3. Find for the simplified general solution of (1 + x³)dy – x²ydx = 0 a. Iny =In(1 + x³) + C b. Iny = In(1 + x³) + InC C. y3 = C(1+ x³) d. y3 = (1+ x³) + C

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Q: 1. Find the general solution of: du dx _ _ y + xy² + x³ x+x²y+y² dy

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Q: 7 Find the second linearly solution of the D.E x'y"+xy'-(x+2)y = 0, given that: y,(x) =

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Q: Solve for the particular solution of the following non-homogeneous DE. y''+y=2x

A: This question is based on solution of differential equations.

Q: Find the general solution of 2x°eWx + x³y²_ y x*y x + y Сх— х In(x?), a) Oy= In x + y Сх- х In(x?),…

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Q: 11. xy' - y= y23 Answeri: y = (CVx – 1)3

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Q: Find the general solution of the DE y’’ = xsin(x)

A: Topic = Differential equation

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Q: Find a particular solution to y" + 5y' + 6y = lte".

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Q: Find the general solution of (xy + 4x)y = 5y² + 4xy². a) Oy + 12y- = -5 In |x| – 16x + C b) Oy - 4y-…

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Q: xy²dx + e*dy = 0

A: Given differential equation is xy2dx+exdy=0

Q: 1. Consider the DE dy dz dy -5- + 4y = 8x + 2, y(0) = 1 dr Verify that y = Ae + 2x + 3 is a solution…

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Q: Find the particular solution that satisfies the initial condition(s). y = C, + C2 In x xy" + y' = 0…

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Q: 2. Find the general solution of (2x-3y-2) dx-(x-2y)dy = 0

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Q: 1. (a) Show that (x) x² is an explicit solution to dy X- = 2y dx on the interval (-∞, ∞). (b) Show…

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Q: If q x2 yz3 %3D =, the small increment in q with &r=8y=8z=±0.1 can be approximately calculated by…

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Q: Is it true that the complementary function xc(t) is a general solution of the associated homogeneous…

A: For a non homogeneous linear system of the form: The general solution is of the form: x(t) = xC(t)…

Q: Find the general solution of the Cauchy-Euler equation: x²y" – 3xy + y = x°, x>0.

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Q: Use Euler's Method to approximate a y(x) solution to the initial value problem y' = xe^3x-2y, y(0) =…

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Q: 8. Find the particular solution that satisfies the initial condition. y'+y = 6e*, Initial Condition:…

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Q: Find the general solution of d²y dt² + dy + 20y=e-2t sin(4t).

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Q: 2. Estimate the solution at x = 3 for dy = 2x - y; y(0) =1 da |3D using Euler's Method with a step…

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Q: 2. Find the particular solution of Vx2 + y2 )dx – x dy = 0 ; y = 1 when x V3. -

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Q: 1. Homogeneous DE: Find the general solution of the DE: ydx + (2x + 3y)dy = 0. 2. Find the general…

A: 1.  ydx+2x+3ydy=0⇒ydx=-2x+3ydy⇒dxdy+2yx=-3 which is a linear differential equation of the form…

Q: 4. Find the general solution of this DE using INSPECTION. dadx + aydy +(X² + y?)dx = 0

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Q: yp=u1x+u2x^-2 is the particular solution proposed for the nonhomogeneous Cauchy-Euler equation…

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Q: Find the particular solution of the DE y " -11y + 24y = 0 subject to the boundary conditions y (0) =…

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Q: 6. Find the particular solution of 2xydx + (y² – x²)dy = 0 ;where y = 2 and x =

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Q: Find the general solution of the DE dyldx = (x + y) / x. O y = (x^2)ln(Cx) O y = (x^3)ln(Cx) O y =…

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Q: Use the Adams-Bashforth-Moulton method to approximate y(0.4), where y(x) is the solution of the…

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Q: 7.Obtain the particular solution of (1 – xy)-2dx + [y? + x²(1 – xy)-²]dy = 0 when x = 2, y = 1

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Q: 1. Find the general solution of: dx dy _y+xy²+x² x+x²y+y³

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Q: 4. Find the general solution of (x + y³) dx = 3xy² dy

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Q: = 4 is 3. The nontrivial analytical solution of +x=with x(0) = (a)3-e (b) 3+e (c) 3+es (d)-3+e…

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

Q: 1. Consider the initial value problem y' = 3y + 1, y(0) 2. %3D %3D (a) Show that all the successive…

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Q: Let y(x) be the solution of y' = y − 4x such that y(1) = 1. Using a step size of 0.5, set y0 =…

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Q: 2. Obtain the general solution of: xy dx – (x² + 3y²) dy = 0

A: