dy dx * = 4y-2 y? 1 y = Ce-4x B A 1 y = Ce 4 A A y = 4x + B y =Ce¯d*+ B A

Q: Differentiate y = 2(2x - 1)5/4.(2x + 1)3/4

A:

Q: dx x2 - 2x + 82 ||

A: Formula used     ∫  1/(u^2+1) du = tan^-1(u) + c

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: Find the equation of the line parallel to 8x +4y = 1 passing through the point (0, 1). %3D

A: Given equation is 8x+4y=1 We have to find the equation of line parallel to 8x+4y=1 passing through…

Q: Find the point on the line 3x + 6y +2=0 which is closest to the point (2,-2). Answer is

A: Foot of perpendicular

Q: etch ソ=+2 エー1 2) y=ド--2

A: We have to sketch the given functions.

Q: 5x + 3y = 51 y = 10x - 8 (,  )

A:

Q: 3/x+5/y=4 3/x-2/y=3

A: To solve the system of equation  3/x+5/y=4,   3/x-2/y=3 Take a=1x  and   b=1y equation becomes…

Q: Differentiate y = 5/x4 - x3 + 1.

A: We need to differentiate y = 5/x4 - x3 + 1.

Q: Differentiate y = V1- 8z

A:

Q: Why y was omitted in equation (2)?

A:

Q: Calculate y ".  y = 12x3 − 5x2 + 3x

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.