(c) Solve the IVP x(1- siny)dy = (cosx – cosy – y)dx.

Q: (b) √r cos (2) dr z

A: Formula of integrationLet u and v are the functions of x then

Q: Find dy. y = tan H 4 X + cos(4x)

A:

Q: Q3 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: The given function is, y3secx2+y2=cos2x

Q: Find dz/dx if z is implicitly given by the equation ze-y = sin(ryz).

A: Given, zex-y=sinxyz It is simplified as follows: Differentiate both sides with respect to x and…

Q: 7 Sin (3x) Sin (5x) dx

A: The objective is to evaluate the integral ∫0xsin(3x)sin(5x)dx Use the trigonometry formula:…

Q: S V sin(y) × cos*(y)dx × cos° 3 х COS

A:

Q: find dy/dt.

A:

Q: 5. (ex + Iny +) dx +(÷Inx + siny) dy = 0

A:

Q: sin(y)dx + cos(y)dy = 0 by exact

A:

Q: (x* +y' )dx+(2xy+ cos y)dy

A: Follow the procedure given below.

Q: x(t) = 2 cos(200pi(t)), t ≥ 0 . Write in standard form.

A: see below the answer

Q: Solve the D.E [y(++csy)]dx + [x+Inx-xSiny] dy-o

A: Solve de

Q: cos"(siny) dx dy = %3D

A:

Q: Q3 Find dy/dx on the graph y sec x? + y? = cos2x at point (1, 2).

A: Derivative of implicit function

Q: Find if y%3D cos (2x)+ 2еж: dx dy

A:

Q: cos(2y - x) = 3ysin x

A:

Q: find dy/dx and dy/dx2, if : x = a(cosθ + θsinθ) and  y = a(sinθ - θcosθ)

A:

Q: Y : = x COS -1 x – V1 - x2

A: Given function :

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.