y" + 6y' + 8y = e-³te5t, y(0) = 0, y'(0) = 0 a. (e³t-1)²e-5t 3 b. (et - 1)³e5t a C. (et - 1)³e-5t 3 d. (et - 1)³e5t 3

Q: 7. y - y = 16

A: The objective is to find the general solution .

Q: 3.) (2xy³ + y4)dx - (2y - y³x)dy=0

A:

Q: Find y': 5a? – 2x?y? + 4y3 – 7 = 0. |

A: Explanation: Given that,  5x2-2x2y2+4y3-7=0

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A: Given: ∫12∫-10ex2y-4x-1y2dxdy

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A:

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Q: Learn with an example Red Green or Watch a video Nellie is shopping for a new bicycle. She is most…

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Q: y"" 1 x² ln x

A: As per our guideline, we are supposed to solve only one question. Kindly repost other question as…

Q: •3 fx(2-x) 10. dy dx 0. r2VIn 3 VIn 3 35. •VIn 3 et dx dy

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A:

Q: y"-9y'+18y=0

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Q: Solve: у" + 5у'" — 2y' - 24у — 42е 5t 2y' — 24у 3D 42e — 2, у'(0) — — 6, у'"(0) —D — 30 | | | y(t) =

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Q: y' + y = -I 4re 1+ yez discussed so far. Gue

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Q: 2xy y' 2 =x-2 x-4 4.

A: Given y'-2xyx2-4=x-2

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Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

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Q: Solve for y: y'=7y²², y = 3 when x = 1

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Q: 6.Given y'a = -2x³ + 12x² 20x + 8.5, y(0)=1, h=0.5 find y(2) using the 2nd-degree RK - a. 3.37500 b.…

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Q: 3. (x - 1)dy - x?ydu = 0 4. (x2 - y2)dx + xydy = 0 5. (x2 - y)dx - (xdy – ydy) = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: (2x² + 2xy + y²) dx + (x² + 2xy - y²) dy = 0

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Q: Differentiate. y = ³√√x³+3x+1.x4

A: Given function y = x3 + 3x + 13.x4

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A:

Q: 22. (-5) dx dy

A: Given: ∫-4-1 ∫48 (-5) dx dy To find: Value of the integral.

Q: Find y' and y" for x² + 2xy − 3y² = 41. Simplify. -2x - 2y 2x - 6y y" = help (formulas) y' help…

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Q: Inx+1 dy will be dx If y = then 2x3 – 3x' (2x³ – 3x) +1) –- (In x + 1)(6x? – 3) А. (2x³ – 3x)² (2x3…

A: Using derivative rule of (u/v),

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

Q: - 4. 3y(x² − 1)dx + (x³ + 8y − 3x)dy = 0; when x = 0, y = 1

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Q: 1- 2х + x2 dx х2

A: To Find :

Q: Solve for y. y' = 7x + xy​; y = - 4 when x = 0

A: Given,  y'=7x+xy,  y=-4 when x=0

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Q: 22. (2xy +y) dx + (x² + 2xy + y) dy= 0

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Q: 1. (2xy - 3x?)dx + (x² - 2y)dy = 0

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Q: 5. Find y'. y = 3x² – 14x + 42

A: