2. Solve the differential equation dy 2y-cot x tan dx

Q: 4. Find the general solution of the differential equation dy + y cot r = 1, dr COs z recalling that…

A: We can find the answer as below

Q: a) Solve the following differential equation by IF method y = y tan(x)- sec(x); at y(0) =1

A: Given differential equation is, dY/dX -(TanX)*Y = -Sec(X) Compare above equation with general form…

Q: Solve the following differential equation. xy(dx — dy) = x2 dy + y2 dx

A:

Q: 2. (D² + 4)y = sin x + sin 2x

A:

Q: Solve the differential equation 1 Fý + cot x – y³ sin x = 0

A:

Q: Solve the following differential equation (x+1) + 2y = (x + 1)ž dx

A:

Q: Solve the following exact differential equation: (y – x')dx + (x + y)dy = 0. = constant. help…

A: We have to find constant for given differential equation.

Q: Solve the exact differential equation: (2y sin x cos x – y + 2y?e*y)dx = (x – sin? x – 4xye*y')dy

A:

Q: Solve the following differential equations: (1) xdy-(tan y+xsec y)dx 0. d'y (2) +4y-(cosx) =0. dx

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

Q: dy 5. cos x+y = tan x dx

A: 5). Given differential equation is cos2xdydx+y=tanx. Solution Given differential equation can be…

Q: Solve the following differential equation x²y" + xy' + y = cos(Inx)

A: Cauchy Euler's differential equation

Q: 6. Solve the following differential equations. xe²-In y? dx dy b) a) dy +y cot x = x dx

A:

Q: 4. Solve the following differential equation: dy dx sin x + y cos x = sin x cos x

A:

Q: O Solve the differential equation y' + y cot x = y* sin x.

A:

Q: dy 3. = y tan x – y² sec x dx

A:

Q: Solve the following differential equation. (y — sin2 x) dx + sin x dy = 0

A: Given differential equation is, y-sin2xdx+sinxdy=0 This differential equation can be rewritten as,…

Q: Solve the following differential equation by variation of parameters y" – y' = e* cos x cOS X

A:

Q: Solve the following Bernoulli's differential equation. y'+tany = e ,7x = e^.secy.

A: We have to find the general solution of given differential equation.

Q: Solve the following differential equations. 2. x sin 3y dx + cot 3ydy=D0

A:

Q: Solve the following differential equations: (x sin y – Inx - x)dy = {y (1+)+ cos y}dx

A: Please see the answer below

Q: Solve the following differential equations: dy 1- secx = y + sin x dx

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0

A:

Q: Solve the following Exact Differential equation. (x + sin y)dx + (x cos y – 2y)dy = 0 %3D

A:

Q: Solve the following differential equation: (2ry – sinx)dr + (x2 – cosy)dy = 0 %3D -

A: Consider the provided question,

Q: verify that the given differential equation is exact and then solve it   (e^x siny+tany)dx+(e^x…

A:

Q: Solve the following differential equation: dy _ 2y + cos dx

A:

Q: Solve the following differential equations of (x+3x' sin y)dx +(x*cos y)dy = 0

A:

Q: Solve the following differential equations. 1) y' sin x = y cos x + sin?x

A:

Q: Solve the following differential equations.  (sin y — y sin x)dx + (cosx + x cos y)dy = 0

A: The given differential equation is- (sin y - y sin x)dx + (cos x + x cos y)dy = 0..........(1) First…

Q: Solve the following differential equation : d?y + 2 cos x· 2 sin x dx2 dy +2 sin x dx dy + 2y cos x…

A:

Q: 7- cosy dx+ (x siny-cos'y)dy=0

A:

Q: Consider the following differential equation f + = cos (x) What is the general solution ?

A:

Q: Solve the following differential equations, giving y in terms of x. dy (iii) cotx + 2y = sin 2x. dx

A: Let us consider a differential equation of the form dydx+Py=Q where P and Q are function of x  To…

Q: Solve the differential equation y' +y cot x y* sin x. 6.

A:

Q: Solve the following differential equation. (1+ sin y)dr = [2y cos y – r(sec y + tan y)]dy %3D

A: Consider the differential equation 1+sinydx=2ycosy-xsecy+tanydy and simplify it using the identities…

Q: Solve the following differential equation, (s x)+(cos x) y = 3 sin x with the initi al dx condition…

A: Given differential equation is (sin x)dydx + (cos x)y = 3sin x

Q: Solve the following differential equation + 4x dy +2y dx *+ Sin X

A:

Q: Solve the following differential equation.  dy/dx = tan y cot x — sec y cosx

A: To: Solve the differential equation dydx=tany cotx-secy cosx

Q: a sin a + In v ) da + tan adv = 0 COs a

A:

Q: verify that the given differential equation is exact; then solve it. 37. (cos x + In y) dx +(÷+e" )…

A: Given, the differential equation is Verify that the differential equation is exact and then find…

Q: Solve the following differential equation xy' +3y= - (x'tanx) y Select one:

A:

Q: dy c) = y sin x dx

A:

Q: Solve the following Differential Equation y' = y tan x; @y(0) = 1/2 n

A: Given:- y' = y tan(x)  , y(0) =1/2  To find :- Particular solution of given differential equation

Q: Solve the following exact differential equation 2хeУ dx + (x?еУ + cosy)dy %3D 0.

A: Exact differential equation

Q: Solve the following differential equations: (a sin - y cos )) daæ + æ cos 1. - Y dx + x coS dy = 0 |

A: Dear,  I am answering only first question. Kindly repost the second question separately  Thanking…

Q: Solve the following differential equation. 1. (x+ sin y) dx + (x cos y- 2y) dy = 0

A: As per guideline we have to solve one question Please repost other question again

Q: ²y" + xy' + y = sec? (In x).

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: dy + tan x tan y = COS X sec y 5. dx

A: Let's find.

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.