If we solve the DE y dx + 2x dy =0 after converting it to Exact using an integrating factor, then the solution of the equation will be

Q: Solve the given differential equation by integrating factor method: 8ху dx + (4y + 9х?)dy 3D 0

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Q: Find the general solution to the differential equation. dx = 3t2(x2 + 16) dt %3D 4 tan(4°) + C x =

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Q: Find the general solution by solving with integrating factor method t(dy/dt) + (t+2)y=1

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Q: x(x+y)(dx + dy) = 2 (xdy – ydx). %3D

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Q: Find the general solution of the differential equation and then the special solution if given an…

A: It is differential equation  problem.

Q: cos y dy – x sinx dx = 0

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Q: dy а. ху+у? dx ху-х2

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Q: Use the method of variation of parameters to find the general solution of the differential equation…

A: Given differential equation: d2ydx2+4dydx+5y=e-2xtanx The auxiliary equation is:…

Q: Find an integrating factor and solve: y²dx + (3xy + y² – 1)dy = 0

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Q: Provided the integrating factor (IF) = xy2, find the general soution of the differential equation…

A: Multiply the integrating factor in the differential equation to make it exact.

Q: 1. (x* + ху? — у)dx + (у' +x?у+х)dy %3D 0

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Q: Find the general solution of the differential equation dy/dx=3y^2-y^2sin(x).

A: Given:          dydx=y2-y2sinx  .....(i) To find:         The general solution of equation (i)

Q: Find the general solution of the differential equation.

A: Here we have to find the general solution of the differential equation;  dydx=x4-x2…

Q: Find the general solution to the differential equation У(2х — у + 1)dx+ x(3х — 4у + 3)dy %3D 0 X ||…

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Q: Find the general solution for differential equation.

A: Given differential equation is xdydx+2xy-x2=0. To find the general solution of the given…

Q: If x = 2sinθ, y = 1 – 4cosθ, then dy/dx is equal to (SOLVE BY USING DIFFERENTIAL EQUATIONS)

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Q: Find the general solution of the differential equation dy 2 dr sin(x/2)Jcos'(x/2)

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Q: In the differential equation (xy+1)dx+x(x+4y-2)dy=0, the integrating factor is,

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Q: Find the solution to the differential equation dz = 2te?z dt at passes through the origin.

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Q: Solve the given problem on Integrating Factor for Non-Exact Differential (1 + y?)dx + (xy) dy = 0…

A: Given non-exact differential equation1+y2dx+xydy=0HereM=1+y2N=xyanddMdy=2ydNdx=y

Q: Find a general solution to the given differential equ y"+5y'+ 6y = 0

A: topic - differential equation

Q: The integrating factor of the differential equation dy +(1+ dx is xe O

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Q: Find the general solution for the differential equation 2x dx + coty (1+x²)dy = 0. %3D

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Q: dy/dx + 2xy equals e-x^2 , where y(zero) equals 1. Find the solution of the initial vaue problem of…

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Q: The integrating factor that transforms the differential equation 3y" – 6y' + Axy = 0 , into a…

A: The differential equation of the form, A(x)d2ydx2+B(x)dydx+C(x)y=0 can be transformed into a…

Q: Solve each of the equations. Integrating Factors (1+ e') dy + (x² + 2x + e' + y) dx = 0; y (2) = – 1

A: We will find out the required solution.

Q: 2) dy = y² (1+ex) dx

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Q: Find the complete solution of the differential equation using separation of variables dy 2х + 2ху?…

A: Given

Q: (a) Use the integrating factor method to solve the differential equations dy + (1+ x)y = e¯*; y(1) =…

A: It is a linear differential equation of order 1 and gence we will first find its integrating factor…

Q: (a) Use the integrating factor method to solve the differential equations dy (1+x)y = e*; y(1) = 0…

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Q: Find the solution of the differential equation that satisfiesthe given initial condition.

A: Given information: The differential equation is dPdt=Pt. Calculation: Solve the given differential…

Q: 6. (3x²y+ 2xy + y³)dx + (x² + y²)dy = 0

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Q: (y + xež) dx – x dy = 0

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Q: find the solution of this differential equation (x + 2y − 1)dx + (2x + 4y − 3)dy = 0

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Q: 6. (x- y)dy+(x+y)dx = 0

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: find the integrating factor for the differential equation below and solve the initial value problem.…

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Q: 2. (3xy + 3y - 4)dx + (x+1)2dy = 0 %D

A: Let's find.

Q: Find the general solution of the differential equation.

A: Given differential equation is dydx=18-6x2x3-9x+7. Above differential equation can be written as:…

Q: With the aid of an appropriate integrating factor, calculate the initial value of the equation…

A: Given differential equation is dydx+2xy=e−x2......1 and initial condition is y0=1. We have to find…

Q: dy x sin x y(0) = –1 6. dx y

A: Given : dydx=xsinxy. By simplifying, we get: ydy=xsinx Take integration on both sides, we get:…

Q: Find the general solution of the differential equation y" +y = 7 sin(2t)+ 5t cos(2t).

A: Given: y''+y=7sin2t+5tcos2t The auxiliary equation of the corresponding homogenous differential…

Q: Find the general solution to the differential equation. dx 130 dt : = 3r° (x² + 4) -

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Q: dy/dx + 2xy = e-x^2 , when y(zero) equals one. Use an appropriate integrating factor to solve the…

A: To solve the initial value problem

Q: dy = xe', y(0) = 0 dx %3D

A: dydx=xey⇒dyey=x dx⇒e-y dy=x dx⇒∫e-y dy=∫x dx⇒-e-y=x22+C⇒e-y=-x22-C⇒-y=ln -x22-C⇒y=-ln -x22-C

Q: Use the method of integrating factors to solve the given initial value problem.…

A: The given equation is

Q: Solve each of the equations. Integrating Factors 1 + e") dy + (x² + 2x + e' + y) dx = 0; y (2) = – 1

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Q: Find an integrating factor and then solve the DE y + (2xy – e=2v)y/ = 0

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Q: Solve each of the equations. Integrating Factors (y² – x y) dx + (2x² – xy) dy = 0; y (1) = 1

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Q: Find the general solution of the differential equation (D² +2D+5)y = 2 cosz – 1

A: In this problem, we have to find the solution to the differential equation D2+2D+5y=2cos2x-1. The…