A student is solving a separable differential equation and gets this far: Secx dy = x coty dx What is the next step? Rewrite as sec r dy xdx. %3D cot y dy I cot y O Rewrite as dr %3D sec z O Integrate both sides. O Rewrite as dx. %3D cot y dy sec z

Q: dy Find - by implicit differentiation. Jx + y +Vxy =4 dx

A: Given: x + y + xy = 4

Q: Q.3 Solve v = e»+vã dx

A: Use the variable separable method and Integrate to get the solution of given differential equation.

Q: dy 2y - 2xVy dx

A:

Q: SOLVE THE 0.E 2Ydx 3xy²dx +xdy when x=2 y=-2

A: We can solve this using substitution method

Q: cos y = e

A: Need to find differentiation for given function

Q: Arctan (у — 2х) — х — 2у |

A:

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 )

A:

Q: (2х — 3)* y = - х +1 .2 х*у + 3ху3 — х %3D 3 X =

A:

Q: 1 d?y X = 3 ; y = u3 + 3u dx?

A:

Q: Solve. dy 71. 5x*y? + x?y² = dx 72. e-1/x. dy = x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Solve dy - dx coeff and substituting yp & the derivatives in the Linear Diff Eq. The answer should…

A: According to question,Given differential equation,d 2ydx - 2dydx = ex sin x

Q: dy +ycotx-cosec x. dx Solve

A:

Q: Find dy/dx by implicit differentiation. 32 y +8yr=-7 dy/dx

A: Given                3x2y+8y2x=-7               we have to find dydx

Q: 30. y= sin x ex+5

A: Consider the given function. y=sinxex+5

Q: Solve (x² + 1) + 2xy = dy 2 dx x2+1

A: The given equation is;  (x2+1)dy/dx +2xy =2/(x2+1).

Q: 2. Solve x dx – y² dy = 0. Answer:

A:

Q: 3. sinx — -1-2усosx dx

A:

Q: Solve dy = ex + dx

A: We have to solve the given differential equation.

Q: 5

A:

Q: dx + 3t?x = x?t et3 solve by Bernoulli's dt Equation

A:

Q: Q6// Solve the equation: y cos? x dy + sinx dx = 0.

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.