Question 8 y' Find the explicit solution of the differential equation I+y2: y(0)-1. 3x+9 y tan y = tan -1 y = tan y = tan

Q: 2. 2xy dx + (x² + y²) dy = 0.

A: The given differential equation is 2xy dx+(x2+y2) dy=0. The solution is obtained by: The exact…

Q: y'+2*tan(x)*y=tan(x) Find the solution of the equation

A: Linear differential equation

Q: Solve the differential equation. xy' - 2y = x2, x > 0

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Q: Form a differential equation by eliminating the constants for y? = 3ax O y? - 2y'x = 0 O NONE o y? –…

A: Given y2=3ax

Q: Find the particular solution of the differential equation given that, when x = 0, y =-4 and Q3 *…

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Q: dy + (cos x)y = sin(x²) 1. sin x %3D dx

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Q: x²y' + y? + 2x - xy' = 2xy +y

A: Given: x2y'+y2+2x-xy'=2xy+y rewrite this equation , we get y-2xy-1dx+x2-xy2-2y+1dy=0…

Q: Show that the function: y = -xcos (x) – x is a solution to the differential equation: dy :) = y + x²…

A: Let's find.

Q: Let the differential equation be: y" - 8y' + 16y = ewhere the complementary function is: Yc = Ce +…

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Q: e* solve the differential SORU 2. y"-y' =; e* +1 equation

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Q: Say j was a non zero number what is the advice inverse?

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Q: d³y dx3 +2 2d²y/ Find the particular solution: = = 0 when x = 0, y = −3, y' = 0, y" = 12

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Q: 3y°e3ry – 1+ (2yey + 3xy°e*") y' = 0 y (0) = 1

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Q: (2y sin x cos x – y + 2y²e*y“)dx – (x – sin² x – 4xye*yʻ)dy = 0.

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Q: b) Evaluate In x dx. X Question 3 For the differential equation y'+-- sin 2x, y (a) Show that the…

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Q: dy 2x? + 4ху %3D 3sin x, У(2л) — 0 dx

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Q: y' = 32 + y = 4.x – 4 It is known that the differential equation has a Y1 = a.x +b special solution…

A: Given that : y' =3yx+y2xRewriting the equation in the form of first seperable ODE,y' =3yx+y2x1yy+3y'…

Q: Solve for the function y that satisfies ty' = 2y + 4t³ cos(4t) = 0 {

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Q: find the solution of differential equation 2 y3 y' +- y

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