(a) Find the general solution to the differential equation dy + (cot x) · y = 1. dx

Q: (b). Use the method of separation of variables to solve the differential equation y? dy = In x x3 dx

A:

Q: 4) Find the general solution to the following differential equation y" + y = tan(t)

A: Find first homogeneous solution y''+y=0. The roots of auxiliary equation m2+1 is  m=±i Then…

Q: Find the general solution for the given differential equation. dy dx

A: To find the general solution of the given differential equation.

Q: d'y Given the differential equation + y = e-6" sin(x) dx? Propose an appropriate particular…

A: follow the procedure given below.

Q: Solve the differential equation (y-x2) dx + (x2 cot y -x ) dy =0

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Q: B) Solve the Bernoulli differential equation y' – y tan x + y- cOs x =

A:

Q: The solution of the differential equation x dy/dx = y + x tan y/x is: X

A: We solve the given differential equation.

Q: 2. Find the general solution of the differential equation: dy dy -5 + 6y = e* dx? dx

A:

Q: 7. 1 (x dy – y dx) = 0 x² + y?

A:

Q: solve the differential equation (y-x2 )dx + (x2 coty-x)dy=0

A:

Q: 2. Find the particular solution to the differential equation dy 2y? dx cosec (x) if the point…

A:

Q: Which of the following functions are solutions of the differential equation y″ + y = sin x?

A: sinxWe have to check which of the following functions are solutions of the differential equation…

Q: the indicial equation of the differential equation xy'' -x2y'+(1+2x)y=0

A: Question from differential equations.

Q: 1. Solve the differential equation zy ) dz = dy. %3D

A: Solution of the given differential equation has done here.  See the fig.

Q: The solution of the differential equation below is dy Зу- + 4x = 0 dx

A:

Q: Solve the differential equation + cos(x+ y)+2x]dx+[xe' +cos(x+ y)-1]dy = 0

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Q: The solution of the differential equation. (1 + y²)dx = ( tan-1y – x)dy %3D

A:

Q: Find the general solution to the differential equation: cos x y' = sin re

A: Solve the following

Q: Find a particular solution y, of the differential equation: y" + 9y = 2 cos 3x + 3 sin 3x

A: Explanation of the answer is as follows

Q: The degree of the differential equation (y")³ + y' – cos y = х is с. 1 d. no degree а. 2 b. 3

A: Degree of the differential equation is the highest power of the highest order derivative involved in…

Q: Solve the exact differential equation: (cos x + ln y )dx + (x/y + ey) dy = 0

A:

Q: 1. Solve the differential equation to find y: dy (1+ x)+Y = VX dx

A:

Q: Find a particular solution y, of the differential equation: y" + 2y' + 5y = e* sin x

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Q: -ty = y*x-3 cos x

A:

Q: Solve the differential equation (y-x2)dx+(x2 coty - x )dy=0

A:

Q: B) Solve the Bernoulli differential equation y' – y tan x + y2 cos x = 0

A: We have to solve the given Bernoulli differential equation y'-ytanx+y2cosx=0.

Q: y"-2y'+5y = e"sinx

A:

Q: Find the solution to the differential equation by Exact method ? X dy - y dx = (4x? + y?) dy

A:

Q: 1. Find the general solution to the differential equation dy 1 - dx

A: Find your answer below

Q: 1. Solve the differential equation xy dx = (x+2) dy =o

A:

Q: dy x + ( 1+x)y = e -x sin2x dx

A:

Q: dx y2 + 2ху %3D sin y ,х(п) %—D 1 dy

A:

Q: 1. Solve the first order linear differential equation. dy --(cot x) y = sin' x dx

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: b. ešy² dx + (e*y – 2y) dy = 0 |

A: Since you have posted a multiple question according to guildlines I will solve first question (i.e…

Q: Solve the separable differential equation / (t) = e/2 sin(t)

A:

Q: Find the general solution of the following ordinary differential equation (x-2y-3)dx+ (2x+y-1)dy-0…

A: x-2y-3dx + 2x+y-1dy =0 --------(1) Now solve in the form of  dydx So we get  dydx=-x+2y+32x+y-1 now…

Q: Given a differential equation dx with the initial condition, y cos (2x) 8

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Q: Find the general solution to the'differential equation: y' sin x COs xe

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

Q: = -2 sin x where y (4) = 7 dx = JT

A:

Q: (e– 1)y' = 2 + cos.x -

A: Let us consider the differential equation of the form dydx=f(x)g(y) Rewrite the equation as…

Q: 1. Solve the differential equation dy y?sin(2x)sin (x) = 0, y(0) = 1 dx

A:

Q: Solve the following differential equation in terms of an Exact differential equation. a) (x + y -…

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: dy x+y=x²y² ln x dx

A:

Q: dy/dx (x^2y^3 + xy) = 1 solve the bernoulli's differential equation

A: Make the given differential equation into the standard form of first order ordinary differential…

Q: SOLVE FOR THE EXACT DIFFERENTIAL EQUATION: (e4* + 2xy²)dx + (cos y + 2x²y)dy = 0 %D

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Q: dy dx +²y=e*yª dx 4

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.