(D³ + 2D² - 5D - 6)y=0; y = 0, Dy=0, D²y = 1, when x = 0.

Q: (3y²-x²» = 0 ;when x = 1, y = 1 2y4

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Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: (2x + 3y – 5)dx + (3x - y - 2)dy = 0 Solution:

A: Given the differential equation(2x+3y−5)dx+(3x−y−2)dy=0

Q: (4x'у — 15х? — у )ӑx +x* +3у? - х)dy-0

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Q: x x + x = 0 x + x 3

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Q: c) (y')Va? - 16 = 11x d) yy -10e2t = 0

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Q: 5. x'dy-y'dx= xydy

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Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²

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Q: y (t) = cie' + czet – 3te + cos t –

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Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

Q: 2) Solve 2(x + 2y)dx + (y – x)dy = 0 with y(1) = 0.

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Q: (D² -1)y=2(1-e-2x)-1/2

A: Given differential equation is D2-1y=21-e-2x-12. To find: solution of the differential equation.

Q: √√x-1 5. lim- x-1 x-1

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: (D²-1)y=2(1-e-2x) - ²

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Q: 3 2 7. ty'-2y=t³ sin(2t) − t³ +4tª; y(n)= · Use a graphing utility to draw a graph of the solution…

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Q: Find the Differential Equation: xInxdy + xydx = Inxdx

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Q: 4. x" +x=e¹+¹_

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Q: 4 (10x3 + 15x² -7y2 - 14xy )dx tx(Sx?- 21y²) dys0

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Q: 2) (3x²y – sin y)dx + x(x² – cos y)dy = 0 |

A: