(g) The characteristics of tzr + y = 0 are given by: dy (A) = -1 and dz dy da <=0 (C) = 0 and dy dz dy <= 1 e :-1 and = 1 dz dz (D) The PDE has no characteristics

Q: Obtain the general solution to the equation (dy/dx)=(y/x)+5x+7

A: Given thatCompare to

Q: (d) What can you say about the graph of y = 4(x) for x>x*? (e) Verify that y = x – 1 is a solution…

A:

Q: Vx6+7 (etan**) dy where ylny) = dx B) find (x2/3)( y v) sec

A:

Q: 2 Find dy/ dx: (a) 4y² – 5xy + 4x =10 5х-10 (b) y = 2 x* + 5

A:

Q: Consider the equation dy dx = y - 4x x-y which is not separable. (a). Show that the above equation…

A: Step 1: Step 2: Step 3: Step 4:

Q: A shopper buys cat food in bags of 3 lbs. Her cat eats 3434 lb each week. How many weeks does one…

A: Given that A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week

Q: 3y(x²-1)dx + (x³ + 8y - 3x)dy = 0; when x = 0, y = 1.

A:

Q: Evaluate cex-y) dx + C (x+3Y) dy C:xaxis from (0,0) to (0,-3) and 0-3) to (5,-3).

A: To Evaluate: ∫C2x-ydx+x+3ydyC: x-axis from 0,0 to 0,-3 and 0,-3 to 5,-3.

Q: (y² + 1)(x + 1)dy = (y² + 3y)dx → Variable Sep.

A: The solution of a differential equation is defined as the function which satisfies the differential…

Q: dy - 6/7 = 3x dx and y(- 1) = - 3. Find the function y(x) satisfying The function y(x) satisfying dy…

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Q: x(ху — 1)dx + dy %3D 0 (Non-exact)

A:

Q: 3. (x + 3y – 4)dx + (x + 4y - 5)dy = 0

A:

Q: dy = 6x² + 2x − 3 and y(0) = 4. - dx What is y(2)? Suppose Oy(2) = 14 Oy(2) = 16 Oy(2)= 18 Oy(2) =…

A:

Q: General solution for xy dx + (2x2 + 3y2 - 20) dy = 0

A: General solution for xy dx + (2x2 + 3y2 - 20) dy = 0

Q: for the implicit equation zey +In(y) = x³-12? da dy 3x2 02-2 = xey + Y 3x² - ey dy da xey + What is…

A: Topic = Derivative

Q: dy (x³ + 1)(x² – 2x-1+ 1) of y = dx x² + 3

A: y=(x3+1)(x2-2x-1+1)x2+3

Q: dy Suppose dx = 4x²-3 and y(0) = 1. Find (2).

A:

Q: (2xcosy + 3x2)dx + (x3 − x2siny − y)dy = 0, if f(0) = 2.

A:

Q: 2. (2x+4y-3) dy + (x+2y-1) dx = 0; y(2) = 5. Determine y(3).

A:

Q: y Given: xe² + In(x - y) = . Find dy/dx. dy 2x(x-y)-x¹+x -w) (20

A:

Q: e-(2²+x³) dy dæ x=-0 Jy=0

A:

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

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Q: (D+1)2 y=e-x sec2 xtanx

A: Given that, (D+1)2y=e-xsec2xtanx Now the equation can be written  as,…

Q: (x - y) (4x + y) dx + x(5x - y) dy = 0.

A:

Q: solve this D.E using separation of variables dy/dx = (xy+3x-y-3)/(xy -2x+4y-8)

A:

Q: d'y Find dx2 (a) y = 6x3 – 7x² + x dy dx? (b) у — 7а? — 6х +9 - d²y dx? x + 2 (с) у — d'y dx2 (d) y…

A: We will solve the problem

Q: (e) The characteristics of uzzt Uyy = 0 are given by: (B) %3D dy dy = -1 and dx dy = 1 (A) dx = -1…

A: This is a problem of partial differentiation.

Q: elp me in  this please

A: The problem is represented in the form of,  using the variable separable method,  we get,