y' = xy – Vx

Q: find dy/dx if y=xcosx+x2sinx

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Q: = 5x- 14/15 dx Find the function y(x) satisfying and y( - 1) = - 7.

A: Given, dydx=5x-1415   and  y(-1) = -7

Q: dy dy implicitly in terms of x and y. Hence, find d.x Given sin(xy) + 3e 3y?. Find dx when x = 0 and…

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Q: solve using Gamma function rý a. C. So dx √-In(x)

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Q: 3x(xy - 2)dx + (x³ + 2y)dy = 0; f(1)=2 Find the positive root of y at x=2. Use 2 decimal places.

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Q: Find dy/dx if y = e-(1/10)e-x/2.

A: Given: y=e-110e-x2. To find dydx. Solution: Chain rule of differentiation states that:…

Q: dy d. x = y + y³cosx dx

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Q: Ex.: Solve dx dy 2- dt -x- e' dt dy dt dx +2. +y%3Dt.. dt versity-Civil Enginee & Num. A

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Q: Q3 Find dy/dx on the graph y sec/x+ y? = cos2x at point (1, 2).

A: We have to find dy/dx at (1,2).

Q: Solve the Bernoulli's DE: 2x3 y = y(y? + 3x2). %3D

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Q: y = tanh- (x) + sech -1 /1+x2 %3D

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Q: d'y dy and y-(x3+2x-1)1/2 find dx dx

A: Given, y=(x3+2x-1)2we need to finddydx andd2ydx2

Q: dy = 4x -3 and y(4) = 0. dx Find the function y(x) satisfying

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Q: x +y-y° =5

A: The given equation is x2+y-y3=5 We have to find dydx=?

Q: y=ln(θ+4) dy/dθ=

A: Given function :

Q: (e* + 1)ydy = (y + 1)e*dx

A: Given differential equation is (ex+1)ydy=(y+1)exdx⇒ydyy+1=exex+1dx⇒1-1y+1dy=exex+1dx