Given equation is linear differential equation solving using integrating factor .Answer is below any query comment and rate my answer thank you.

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b) Solve the following ODE using the substitution, u = dy (x - y) = y A c) Solve the Bernoulli's ODE dy 1 dx + y = xy2 ; x > 0
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1. a) Solve the following linear ODE. dy + 2y = 4x? dx X X>0
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2. For Grammar S->uBDz B->aB B->b D->x D-> devise the predictive parsers and show the parsing tables. (20.00)
Solve the DE, given x > 0. 2 dy dar +y = = 3 In x с Oy= (In x - 2) + 2 None of these Oy= (In x - 2) +C Both of them
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[1] The joint probability density function of two continuous random variables X and Y is fx,x(x,y) = {6. sc, 0 Sy s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y.
Use logarithmic differentiation to find dy/dx. y = XV x2 + 25 X>0 dy - dx Need Help? Read It Talk to a Tutor
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Solve the Cauchy problem for the diffusion equation ut = Uxx, xe (-0, 0), t > 0 (b) u(x,0) = x for x € (-1,1) and u(x,0) = 0 for other values of x.
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)
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Question 34 Solve the problem. At time t > 0, the velocity of a body moving along the s-axis is v= 12.5t+ 4. When is the body's velocity increasing? ot>4 ot< 2.5 ot<4 ot > 2.5
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2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....