1. Solve ty' = y where y(1) = e

Q: Match the D.E. with a direction field: y' = t+y – 1, , y' = sin(t)sin(y), , y' = 2 – y, , y' = t(2 –…

A: NOTE: Horizontal axis is t-axis  .

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Solve the D.E y' 1 (e-y-x)

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Q: Solve y" + (y')² = 0.

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Q: y' + (=) y = xy²

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Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

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Q: 1. Find y'. (2) y=

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

Q: 2) Solve the equation y' = Y 4x²y + x

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Q: 1. Find all solutions of y' = x ln x

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Q: 2. Solve 3 y'(z) + y(x) = y²(z) (cosz - sinx)

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Q: If xy? - y3 = 5, find y'. y' =

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Q: 4) Solve (xe + ye" )dx+(xe" +e' )dy = 0

A: The differential equation is xe-y+ye-ydx+xe-y+eydy=0 Write it as: e-yx+ydx+x+e2ydy=0x+ydx+x+e2ydy=0…

Q: 5b. Find y' when =etet ey

A: The equation is given by y = e2+ex2+ey2…

Q: Solve y' = (y − 1)(y + 1) for y(0) = 3.

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Q: Solve y(H) a) Y (6) = y (4) = ? %3D b) y"-y' • 24 ylo)=1;y'(0)=-2 %3D

A: We have to find the solution y(t) from the following  a) y(s)=1s2(s2+1) b) y''-y'=2t, y(0)=1,…

Q: 1. Find a general solution of the first order equation: y'= 3x²y².

A: The given first order differential equation is solved by method of separation of variable.

Q: 2. Solve y" + 2y' – 3y = 3, y(0) = y'(0) = 1. II %3D %3D

A: given differential equation is linear non homogeneous differential equation with constant…

Q: 6. Solve: y"(t) = te', y(0)=0, y'(0)=1

A: Given data y"(t)=tet  y(0)=0, y'(0)=1

Q: what is the answer? y' = e2x + 3y

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Q: Find y'. 9) y = (5x-2)(3x + 1)

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Q: What is the general solution to y''+y=0. Show the solution.

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Q: 16. Solve (1 +x)y' xy

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: 1 Y(s) 5s2 then Y'(s) = ... 4一s

A: Given Y(s)=15s2-4sTo find Y'(x)

Q: Solve the first and second derivative of y = cosh2x+ sinhx

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Q: If y" = 6x + 2 and y'(1) = 2 and y(1) = 2, find y.

A: If y" = 6x + 2 and y'(1) = 2 and y(1) = 2, find y.