Solve the following initial value problem: xy + 2y? y' y(1) = 3 x2 a) The solution is y(x) = b) Please show your work!

Q: he (4x' +6xy' )dx + (9x’y' +3)dy = 0 equation ² - 3x²y' +3y =e - Solve the so *+ 3x°y +3y=e -t…

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Q: Solve y" – 2y' – 3y = 3t² – 5 using the Method of Undetermined Coefficients.

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Q: (c) xy" + y = 36x

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Q: Ex. (10) Sol Solve y"-2y' + 2y = 2x+3

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Q: Obtain the particular solution for the equation 2(x³ + 7)y' = x?y when x = 1, y = 4.

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Q: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* ------by exact method ---by linear method

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Q: Solve the equation y" – 10y' + 25y = t-5e5t.

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Q: (c) xy' + 4y = 3x², y(2) = 4

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Q: p" +2y' – xy = 0 n(x)= e

A: Given

Q: 2x y" +5xy' + y = 3x +2 Answer y(x) = +은+2+

A: The given equation is of the form ax2y''+bxy'+cy=g(x) The solution to the above equation is given by…

Q: 5. [10 points] Find the general solution y"-6y' +9y = x*e*

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Q: solve the deq by method of substituiton

A: The given differential equation is 2x+y+4dx+x-2y-2dy=0......(1) We shall solve the differential…

Q: Find the general solution to y'" + y = 0 Show the solution.

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Q: (e) y(ª) – 4y "= 5x² -e2* (g) y(“) +8y '= 4

A: The given differential equation is y(4)-4y''=5x2-e2x

Q: Solve for x + y (EZ) if i) x² - y² = 24, ii) xy = 35

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Q: 9. y" +9y = 0

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Q: (C) y" + 21y+8x=y" + 5y' + e²*

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Q: Are the functions y₁(x) = e, y2(x) = ze a fundamental set of solutions for the equation y" - 2y + y…

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Q: y" – y' – 30y = 0 0) - 1, у 10) --4

A: The general form of a second-order homogenous linear differential equation is given by…

Q: Find the general solution of the equation y" – 2y' + 5y F0 Do not need to show your work, just give…

A: First we find the auxiliary equation and then we find the general solution of the given homogeneous…

Q: Bruce and Cruz had 294 bookmarks altogether. Bruce gave away 3/8 of his bookmarks and Cruz gave away…

A: Let the number of bookmarks Bruce has = B The number of bookmarks Cruz has = C therefore B+C=294…

Q: y' +y = x*y2 , y(2) = -1,x > 0 is

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Q: x?S(x x] =0 2 2 x Can be wpitden as s" (o)= the Solu tion is

A: Note:- You have mistakenly written it as c1e^ax + c2e^-ax. At the place of a there will be α.

Q: Q2) Solve: y" - 5y' +6y=H(t-1), y(0) = 0, y'(0) = 1.

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Q: Find the general solution to 3x y" + 9y= e³x + secx.

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Q: Ex. (9) Sol:- Solve 3y"-2y'+y= 4x+2

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Q: a) y2 + (y-1)y' - y = 0,

A: According to guidelines we solve only one question. Thanku

Q: Ex. (9) Solve 3y"-2y' + y = 4x+2

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Q: Given f(x)=3x^2 + 4x + 5, determine the roots of the function. Verify them with a graph.

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: Evaluate the general solution of y""=e4x + sinx

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Q: he (D+4)y(x) =xe equation ther than that +2)e"

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Q: Q4- Solve y"- 4y' + 13y 3x.e*

A: Topic:- differential equations

Q: 5) Form a DE by eliminating the arbitrary constants from the equation y = asin(4x + 1).

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Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...