Find general solutions of these ODES, and particular solutions if initia conditions are given. Show the details of your work. (a) y' +xe-x*/2 = 0 (b) e**yy' = 3x (c) y' = 1+ 4y², y(2) = 0

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Q: 5 Find y' if cos (Xty) =

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Q: Let h(x)=f(x)g(x) where f(x)=−4x^2−5x+1, g(1)=−5, and g′(1)=−4 what is h′(1)?

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Q: Solve the ODE  y'+(1/x)y-ex=0, when x>0

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Q: If h(2) = 4 and h'(2) = π, find g'(2) where g(x) = 2x h(x) + cos(x)

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Q: Find y' if y= is-2x(+)* +

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Q: If x' x= [(-₁)] and x(0) = [] x what is X(T)?

A: Given: x'=01-10x and x(0)=01. To find: x(π)

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Q: If g(x) = , what is g'(x)? 2x-1 x²+3x '

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Q: G(y) = (y − 1)4 / (y2 + 2y)7 Find G'(y) =

A: for a polynomial function of power n: Division rule of differentiation:         Chain rule :…

Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: y'-2 xy=2 y (0)=1

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Q: Find y as a function of a if y" - 3y" y + 3y = 0, y(0) = -7, y' (0) = -4, y" (0) = 9. y(x) =

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