2. (20 points) Solve using integrating factors method. xy'-3y=x, y(2)=1.

Q: y' = (1-x)y²+(2x-1)y-x a special solution of the equation y1(x)=1, Find the general solution of the…

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Q: Find the solution to if x(0) = 3 and y(0) = 4. x(t) = y(t) = = = y-x+t = help (formulas) help…

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Q: solve using method of undetermined coefficients 2y'+4y=3cos(2t), y(0)=0

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Q: y = e"(1 – y²), y(0) =

A: We will find out the required solution for given differential equation.

Q: (c) xy' + 4y = 3x², y(2) = 4

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Q: Solve: x'y'- 2xy = 3y¹, y(1) =

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Q: Using homogenous, solve y2+x2y = xyy

A: Given: y2+x2y = xyy'

Q: (ii) The Fourier Series of x +1, -1 0 converges to f(r) for all a E (-1, 1] EXCEPT at: (A) r = 0 (B)…

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Q: y' = (x - 1)(y-2), y(2) = 4

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Q: Solve y'' + y' — 6y = 0, y(0) = 8, y'(0) y(t) = = - 9

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Q: Find y' and y". y' y" = y = (²+ √x)³ 3

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Q: x(y')2 - 2(y')3 - 2x - y = 0 find the general solution of the equation

A: Given differential equation is, xy'2-2y'3-2x-y=0 Let, the given equation be, y'=dydx=p Thus,…

Q: y'-(2/x)y=(y^3)/(x^2) find the solution that satisfies y(1)=1

A: The given differential equation is

Q: Find the general solution to (t² + 4)y' + 2ty = t²(t² + 4). Enter your answer as y = .... Use C to…

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Q: (2x+3)y'= y+y²(2x+3)^½ Linesr equation or bernoulli equation

A: The given differential equation is 2x+3dydx =y+y22x+312. The standard form of Bernoulli's…

Q: y'=-3y ; y(0)=4

A: y′=−3y;y(0)=4

Q: (2x^2 −xy)dx−(y^2 +xy)dy = 0 Solve this problem with using no calculator or computer, the answer…

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Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

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Q: Solve 24-4x²³/dx + xdy = 0 using the integrating factor M = 2² SPOXK

A: Solve 2(y - 4x2)dx +x dy=0, Using the integrating factor μ=e∫P(x) dx.

Q: y' = y*.x* Find a general solution. find the custom solution so that y(2) = 1.

A: We have to find General and Custom solution of given differential equation.

Q: Find the general solution using Methods of Undetermined Coefficient and Variation of Parameters.…

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Q: 3. Find the equation of the curve for which y" = 6x-4 and which passes through (1,2) and (-2,5).…

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Q: y''+6y=6+x By using i) Method of undetermined coefficients ii) Method of variation of parameters…

A: i) Given that y''+6y=6+x Take m=ddx m2+6=0m2=-6m=i6 Hence the homogenous solution is…

Q: What integrating factor should be used to find the solution of the equation ydx + (xy + x- 3y) dy =…

A: Given that: ydx+(xy+x-3y)dy=0

Q: Determine the form of the particular solution for the DE. Don't evaluate the coefficients.…

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