y"tx;' + xy=3+x

Q: (c) | Vtan(x) sec (x)dx 3

A:

Q: B- Find if y = (x²+1)(x+3)²/2 -, x >1. dx X-1

A:

Q: If y = tan-1 xy and (x = 2, y = 3) y will be equal to?

A: See the attachment

Q: + 1 =2e- dy

A: Given, Can be rewritten as

Q: find d^2y/dx^2 ysin(x^2)=xsin(y^2)

A:

Q: par y) В. х2 + у2 С. sin (3x — у)

A: Which of the following equations are solutions to the partial differential equation

Q: ex- ex - y%3D ex +e-x

A:

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: Evaluate the integral.

A: Integration is a process of finding the anti derivative of a function. There are basically two types…

Q: 3. II Azy'dz dy = 2y°(3² – 1)dy | 2y (y? – 1)dy 1

A: Given that a double integration .We use general  property of integration to solve this integration.…

Q: cosyx X,

A:

Q: Solve the initial value problem.

A: The initial value problem: dydt=2t+9t2, y1=2

Q: dy = ay + by", dt a > 0, 6 > 0, -∞ < Yo < ∞

A: A differential equation is given by, dydt=ay+by2 for a&gt;0, b&gt;0, y0&gt;0. The objective is to…

Q: 22 2 dy = 1-x +y _xy 2 2 x y dx

A:

Q: Evaluate | (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7)

A:

Q: 5-(1+x')(dy-dx)= 2.xydx;

A:

Q: Evaluate Ic (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (9, -7)

A: The objective is to evaluate the integral ∫c (2x-y)dx+(x+7y)dy, where c compromises of two paths,…

Q: Let -1 y = tan' 3x2 – 1 dy Then dx

A:

Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

A:

Q: | cos 3y dy 4.

A: I=∫ cos6(3y) dy3y=tdy=t3Integration by parts;∫uv dx=u∫v dx -∫ dudx ∫vdx dxI=13 ∫ cos6t…

Q: 4. sin Tx - y = 0 4 -- y = -1 5.

A:

Q: 4, 8 sec3x tan5x dx

A:

Q: S (sech*y – sec®y) dy

A: I =∫ (sech4y -sec6y) dyI=∫ sech4y -∫ sec6y dyI=∫ sech2y (1-tanh2y) dy       -∫ sec2y (1+tan2y)2…

Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7,-5)

A: The given integral is ∫C2x-y dx+x+5y dy where C is the line from 0,0 to  0,-5 and  0,-5 to 7,-5. To…

Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (5, -5)

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

Q: 1] y = 2x5 +7x² + 4x Degree: Sign of LC: as x-0, y→ as x 00, y-.

A: Solve the following

Q: 7) sin Z 40 32 Y 24 X,

A: In right angle ∆XYZ The length of the side XY=24 units. The length of the side XZ= 40 units. The…

Q: d tanh (u) du Sech (u) dx dx

A:

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

A: Given query is to solve the differential equation.

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (2, -7) 351 2

A: Solution :-

Q: Intergrate:

A: To evaluate the integral.

Q: Evaluate (y - x) dx + (4x + 7y) dy. C: line segments from (0, 0) to (2, -4) and (2, –4) to (4, -4)

A:

Q: 3z cos(z)dz

A:

Q: Evaluate √ (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7)

A: Let's find.

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

A:

Q: 2-dy dy. y2 dx 12 ナ /2

A: We have to solve the given equation. The given equation is 2-dydX=y2X2+yX+1    ......(1)

Q: hind dy if y = sin(x")

A:

Q: If y = tan-1 xy and (x = 2, y = 3) %3D %3D y will be equal to?

A: Given: y=tan-1xy To find y' at x=2 and y=3. Solution: Chain rule of differentiation states that:…

Q: 7)(x+tan y) dy sin 2y dx

A:

Q: Evaluate / (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7, -5)

A:

Q: dy 2 = 3, ,3 X'y' - xy dx

A:

Q: 3. a) If y = 6x - 5x +7x +2x – x+10, find dy at (2,3) i. dx d'y il. -at (1,-5)

A: See the attachment

Q: 9-y dy 5. S y

A: We will use trigonometric substitution.

Q: dy senx+y cos x = xsenx dx y(7/2)=2

A: Let us consider a differential equation of the form,  dydx+P(x)y=Q(x) Then solving the equation…

Q: [(2sin x + 3cos.x) dx

A:

Q: (ii) sec2 (x) dx

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (4, -3)

A: To solve the given line integral.

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.