2. Solve the differential equation dy -e2y-cotx tan x dx

Q: The solution of the differential equation tan xdx + tan ydy = 0 is

A: Using variable separable method.

Q: Solve the differential equation: sin(2x)cos(y) − sin(y)sin2(x)dy/dx = 0

A:

Q: 10) 4xy dx - (6x² +y) dy so

A:

Q: y' - (2 cot x)y = – sin³ x |

A: We have to solve given problem:

Q: Solve the first order differential equation dy ycos' x 1+ sin x dx

A: The given equation is first order, linear differential equation.

Q: (x+2)? dy 2y dx x -4 x² -4

A: dydx+2yx2-4=x+22x2-4⇒dydx+2yx2-4=x+2x-2⇒y=∫x+2x-2dxx+2x-2x-2

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

A: Simplify: Divide by cos xdydx+ysin xcos x=sin x cos xcos xdydx+y tanx=sin x

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

A:

Q: i) Solve the differential equation dx +tan x tan y = cos x secy.

A:

Q: Solve the differential equation y" + 5y = -sec 5 x

A: See the details solution in below

Q: (1+x*)dy + x(1+ 4y²)dx =0

A: topic- differential equations

Q: Solve the differential equation. (y + Sin y) y'   =  x + x3

A: Write the equation in terms of differentials and integrate on both sides as follows.

Q: 2. Solve the differential equation dy sin x dx 2 y-cot x

A:

Q: 8. Solve the separable differential equation. dy dx = y\x

A:

Q: Solve the differential equation: dx/dy*(sin(x)) + y*(cos(x)) = sin2(x)

A: It is differential equation.

Q: Solve the differential equation dy/dx=2x+sin3x.

A:

Q: xy' +y= sin(x) + 2cos(x)

A: We know that a differential equation of the form dydx + P(x)·y = Q(x) has Integrating Factor (I.F.)…

Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

Q: Solve the Differential Equation: y " + y = 4x + sin x

A: We will solve the given linear differential equation by finding Complementary and particular…

Q: Q1: a) Solve differential equation (2y cos y – x sec y - x tan y)dy = (1 + sin y) dx

A: As per our guidelines, we are supposed to solve only first subpart. Kindly repost other subparts as…

Q: 4. Find the solution of the following differential equation dy_tan'x* sec*x Зу, x>0 x- dx

A:

Q: 24- Solve the following differential equation: (1+x²)dy + (y-tan-¹(x)) dx = 0

A: Solution to the differential equation

Q: a) Solve differential equation dx + 2 dy x³ cos y %| - y

A:

Q: Solve the differential equation. y" +y = tan x

A:

Q: Solve the differential equation y"-9 y+20 y= sin(x)--'cos(x)¶

A:

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

A:

Q: Solve the differential equation dy 2y-cotx tan? e dx

A: Given: tan2xdydx=e2y-cotx

Q: Solve the differential equation dy /dx = x sq / y  sq

A: dy /dx = x2/ y2 Hence, y2dy = x2dx

Q: solve the differential equation  (y+siny)y' =x+x^3

A:

Q: Q4: Find the general solution of the differential equation y'+ (tan x)y = sec2 x %3D

A:

Q: Solve the differential equation dy 2 sin 2 у -cot x e dx

A: We are given an ODE and we need to find the general solution for the same. We will proceed by…

Q: dy/dx+(2/x)ydx=3dx

A:

Q: y' + (2 tan x)y = cos³ x = COS" X

A: The correct answer is option (I) , i.e.  y = (cos²x)(c+sinx) The detailed solution is as follows…

Q: Solve the differential equation y ' = 2 sin x cos x

A: Given the differential equation as Use the 2A formula from trigonometry which states

Q: Solve the differential equation y'=tan(x+y)

A: Integrate for solving

Q: Solve the differential equation tan x- dy ey-cotx dx

A:

Q: Solve the differential equation y"" + y = 3x² + sin x - 2 cos x

A:

Q: Solve the differential equation dy tan y x Cos x 3 dx

A:

Q: Solve the differential equation dy + (tanx)y = (cosx sinx)y-1 dx %3D

A: In the differential equation bring y to LHS and solve:…

Q: Solve the differential equation (sec x) dy/dx = ey+sin x

A:

Q: (5) Solve the differential equation by variable dy separable x°y- csc y dx

A: A separable differential equation is any equation that can be written in the form y′=f(x)g(y). The…

Q: (x+1)dy = (2xe* – xy - 2y)dx

A:

Q: 2. Solve the differential equation sin xsin y dx +cos.xcos y dy = 0.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 2. Solve the differential equation sin xsin y dx+ cos xcos y dy =0.

A:

Q: Solve the differential equation: (D² + 1)y = tan x

A:

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

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.