3/4y +1 dy 2. Evaluate 0,

Q: 7x? +6 Find dy for y = X 7x -6 dy =

A: Given that, y=7x2+6x Differentiating with respect to x we get,

Q: syidr + [2yłn () + 3siny]dy: 6. x²+3x 3y?dx 5x ;when x = 1, y = 0 x+3,

A: Given, Differential Equation:  3y2x2+3xdx+2y ln5xx+3+3 sin ydy=0when, x=1 and y=0 To find: The…

Q: Find the set of solutions (3x – 3y – 2) dx – (x – y + 1) dy = 0. - - %3D

A: Given differential equation is linear, we will use substitution to solve it

Q: Find the general solution for (y + 1) dx + (4x-y) dy 0 %3D

A:

Q: an expiicit solu 'V1-y dx - V1- x² dy = 0; y(0): O 4+3/5 8 O 4-3/5 8 O 4-/5 O 4+ /5 2.

A:

Q: a) |(w - 1)(2y + 1) dy

A: a) ∫02(y-1)(2y+1)dy=∫02(2y2-y-1)dy=2∫02y2dy-∫02ydy-∫021dy=2y2+12+102-y1+11+102-y02…

Q: 8. Jydx + (1+ x)dy = 0,,when x = 1, y = 4

A: Differentiable equation can be solved separating the variables on each side and then integrating…

Q: (2y3 – x³)dx + 3xy?dy = 0; when x = 1, y = 1 Ans. 5x²y3 = x5 + 4

A:

Q: 5 If y = dy then dx %3D x+1

A: Given that: y=xx+15

Q: Find. y = sec (2x + 6) O dy 12x + 6|V(2x + 6) – 1 9. O dy %3D dx 1 O dy 2. %3D

A: given    formula of for derivative

Q: Find dy. y = x| 13 dy = (Simplify your ans × |5

A:

Q: x(3xy – 4y + 6)dx + (x – 6x yt – 1)dy = 0, when x = 2, y = 0

A: The given differential equation is x3xy-4y3+6dx+x3-6x2y2-1dy=0Or3x2y-4xy3+6xdx+x3-6x2y2-1dy=0 It is…

Q: Find * dy ,If y 3 dx + x O x^2 + x O x^3 + x^2 +1 O x^2 + x + 1 O 3x^2 + 2x + 1

A:

Q: Evaluate the double integral: 2 √ ² √² (3x² +9y²) dx dy 0

A: To solve the given double integral.

Q: b. (3xy3 + 4y)dx + (3x?y² + 2x)dy = 0; when x = 1, y = 1

A:

Q: 10) *- dy + 8, y(1) = 1 10) dx A) y = Vx + 8x - 8 В) у%3D 1 + 8x - 8 27 C) y =x + 8x + 10 D) y = +…

A:

Q: dy %3D 14 If and y = when x = 1, find y(2). dx V3x-2 27

A:

Q: Find dy/dx. 8. хеУ 3D 2ху + уs

A:

Q: dy %3D 2.

A: Rewrite given differential equation. It is similar to Bernoulli differential equation with…

Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: у (2ху+1) dz +a (1+2ху— г3 у?) dy 3 0 (1+ 2гу— а* у) dy %3D0

A:

Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: How I show that if Y=ax^2 that (d/dx)=2ax(d/dY)?

A: The given expression is y=ax2.In order to prove the given expression, use the following definition.

Q: dy 34. = ty² +3t²y with y(-1) = 2 %3D dt

A:

Q: By?dx +[2yłn () + 3siny dy 0 ;when x = 1, y = 0 ²+3x x+3

A:

Q: 2+z² – xy dz dx dy Evaluate

A: The objective of the question is evaluate the triple definite integral.

Q: N= 8%° + 3s $1

A:

Q: 1) CSc y di + secx dy =0 CSC y Y.

A: Given query is to solve the differential equation.

Q: Solve for dy when y = <<+3x, x=2 and dx = 0.5. 2.500 0.125 2.625 2.125

A:

Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

A:

Q: y 3D 1 y = secxtanx; y

A:

Q: 3 Evaluate: ³₂²₁²[z³(x + y)³] dz dy dx

A: When a triple integral is performed, then the innermost variable is integrated first, then the…

Q: dy Find if 2x2 dx 2 + y In (xy) =

A:

Q: Find dy/dx given that y3 + y2 − 5y − x2 = −4

A: We have to find dydx for given equation, y3+y2-5y-x2=-4 We know the formula from power rule of…

Q: Find formulas for dy and Ay if y = 7x – 7. %3D - dy = Ay =

A:

Q: Find an implicit general solution of ( x² + dx + 1+ 4x²y², - y*) dy = 0 %3D 1+4x²y?

A:

Q: 12. Find dy for y = sec (3x). %3D

A:

Q: dy dz 2. x+1 y+1 z+1

A:

Q: Find dy when X= 4 and dx = 0.2. y 3x-4x + 2x+ 3x -7 y%3Dx

A:

Q: Find formulas for dy and Ay if y = 8x – 4. | dy Ay =

A:

Q: 2. (2xy + 16x +4y + 32) dx + (3xy – 9y – 7x + 21)dy = 0, y(5) = - 6 %3D %3D

A: Given that, the differential equation is .2xy+16x+4y+32dx=3xy-9y-7x+21dy, y5=-6.…

Q: Solve this IVP. dy 7 + 2y = x, y(0) = dx

A: Linear Ordinary Differential Equation with Constant Coefficients: The general form of linear…

Q: 26. x = 2y, y(1) = 5 dy

A:

Q: 11. (y2 - xy)dx + x²dy = 0,when x = 3, y = 3 %3D

A: This question is related to differential equations.

Q: Evaluate the double integral : 2 2 (3 x² + 4 y°) dx dy Answer: 2 2 (3 x2 + 4 y) dæ dy =

A:

Q: dy у %3D[3 — [2 + (1 — х)2]3}4 , find dx

A: Given that    y = {3 - [2+(1-x)2]3}4 Here we have to find dy/dx .

Q: by (3x? + y²) dx+ (2.xy) dy 7. C: 3D1 from (3,0) to (0,4) %3D - = 1 6.

A: We are given the following integral:∫C(3x2+y2) dx + (2xy) dy over the path C: x29+y216 = 1 from (3,…