(1+ cosx)y' = sinx(sinx + sinxcosx – y) |

Q: x + 4y3) dy- ydx = 0

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

Q: Find the general solution of the first-order linear differential equation. (Use x as your…

A: We can find the correct answer as below

Q: Determine the particular solution that satisfies the differential equation and initial condition…

A:

Q: y' = y²-y ху?-у

A: The given differential equation is  y'=xy2-yx     It can be re-written as…

Q: Find general solutions of the differential equation    (x+y)/y'=x-y

A:

Q: d) sin(x)y' + cos(x)y = tan(x)

A: We have to solve

Q: Determine the particular solution that satisfies the differential equation and initial condition…

A:

Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A: We have to find

Q: solve the differential equation by separation of variables. (2+2y2)y'=exy

A:

Q: determine the general equation using bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

A:

Q: Use integration to find a general solution of the differential equation                      dy / dx…

A:

Q: Obtain the differential equation by eliminating all arbitrary constant.

A:

Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 2. (y – 2)dx + (3x – y) dy =&

A: We can solve this problem as follows:

Q: y' cosx f. -=cos y

A: The given differential equation is,y'cos2x=cosy

Q: (D² + 4)y = Sinx

A:

Q: verify that the given equation is a solution of the differential equation.(elimination of Arbitrary…

A: The solution is given as  y=-cos(x) ln(sec(x)+tan(x))                   (1) Differentiate equation…

Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A: Solve the following

Q: 2x + 2xy2 y + 2x²y dy dx ||

A:

Q: Use separation of variables to find the general solution of the differential equation. 6 cos(tx) xp

A:

Q: Find the solution of the differential equation using Variation of Parameters.

A: Given differential equation is y'''-3y''+3y'=exx The solution of the differential equation using…

Q: y In(x) ln(y)dx + dy

A:

Q: Use separation of variables to find the general solution of the differential equation. (6 + x)y' =…

A: Please refer the attached image for complete solution.

Q: Use separation of variables to find the general solution of the differential equation. 2x dx

A:

Q: 4. y" +2y'+ = cos a COS

A: We will solve the problem

Q: Find the general solution of the 2nd order Differential Equation using Variation of Parameters.

A: We will find the general solution of differential equation by using variation of parameters as shown…

Q: 2. dx + 2x dy/y 2x2 y2 dy

A:

Q: Find the solution of a given non-homogeneous differential equation using the variation of…

A:

Q: Write the general solution of (x² – x)y" + - 2x) y' -y = 0 about x = 0 of Hypergeometric…

A: Compare the given equation with the Hypergeometric equation of the form x1-xy''+c-a+b+1xy'-aby=0,…

Q: The integrating factor of non-exact differential equation (x°y³ – ®)dx – (y6 – x³y)dy = 0 - -

A:

Q: (1+x²)(dy-dx)=(2x+arctan² x)dx

A:

Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A:

Q: Use separation of variables to find the general solution of the differential equation. (9 + x)y' =…

A: We have,

Q: Determine the particular solution that satisfies the differential equation and initial condition…

A: General solution of the differential equation

Q: equation

A:

Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A: Given query is to find the solution of the differential equations provided.

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: We have to find solution of the given initial value problem.

Q: Find the solution of non linear partial differential du equation ди = U бу dx

A:

Q: Solve the differential equation by variation of parameters. y"+ y = sin(x) %3D x cos(x) y(x) =…

A:

Q: Find a homogeneous linear differential equation with constant coefficient whose general solution is…

A: Given the solution of a homogeneous linear differential equation with constant coefficient. That is,…

Q: Use separation of variables to find the general solution of the differential equation. dr 0.03r ds

A:

Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

A:

Q: xy²-y y' %3D

A: Given: y'=xy2-yx

Q: Use separation of variables to find the general solution of the differential equation. (5 + x)y' =…

A:

Q: Find the particular solution that satisfies the differential equation and initial condition. f"(x) x…

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

Q: 9. Use separation of variables to find the general solution of the differential equation. dy = sinx

A: y2 dydx=sinx sperate the variables y2 dy=sinxdx

Q: y'tanxsin2y = sin²x + cos²y

A: Assume t=cos2y then differentiate both side with respect to x to find dtdx .…

Q: Solve the Differential Equation using METHODS OF UNDETERMINED COEFFICIENT: y''+y'-3y=4sin2x

A:

Q: 2. y' + p(x)y = q(x)

A:

Q: Obtain the Differential Equation from the given general solution. y = C¡ cos(4x) + Cz sin(4x) + Cx…

A: Use the following formula, to find the solution. ddxcosax=-asinaxddxsinax=acosaxddxuv=udvdx+vdudx

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.