dy -4x + 12x? dx

Q: (3x2- 2ху + 3у?)аx %3 4хy dy

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Q: (a) 2xy² +x²y' = y², y(1) = -1 %3D

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

Q: 2 dy + ydx = 4xdx

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Q: dy yz + yi = 1 when x = 0, y = 4 dx

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Q: dx -2xcsc 2y – 2x³cos 2y dy sec 2y

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Q: Solve the differential equation: dy (2x + 4y) + (4x – 2y) dx You may leave your answer as an…

A: the given differential equation is: 2x+4y+4x-2ydydx=0 we have to solve the given differential…

Q: solve the differential equation   x(4ydx+2xdy)+y3(3ydx+5xdy)=0

A: Given that the differential equation is    x(4ydy+2xdy)+y3(3ydx+5xdy) = 0

Q: Find the particular solution: (D² + 3D + 2)y = 12x²

A: Given thatdiffrancial equation D2 +3D+2y=12x2auxiliary equation is m2+2m+2=0i.e…

Q: Find the general solution for each differential equation. Verifythat each solution satisfies the…

A: Consider the equation: ydydx=x2-x……1

Q: Determine whether the differential equation (2x² − 2xy + 3) dx + (2y² − x² + 2) dy = 0 is exact. If…

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Q: Check that the differential equation is linear and find the general solution Y'-(6/X)Y = x^4

A: Given differential equation is y'-6xy=x4 which can be written as dydx-6xy=x4. We have to check…

Q: (2y³ + 4) dx = (6-- 2ay') dy 2ху?) dy

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Q: dy d) dx cos(x + y),when x = 0, y = | 4

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Q: The solution of the differential equation y" = 2x(y') is Select the correct answer.

A: Given differential equn is ,            Y11=2xY12     Put , P=Y' , then ,            P'=2x p2    ⇒…

Q: Solve the linear differential equation of y' – 2xy = r.

A: Answer :The given differential equation is y'-2xy=xIt can be written as dydx-2xy=x    -(1)

Q: Find the differential equation, use the general solution. y= Ax2 + Bx

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Q: 2ху+3у? dy 7. dx x2+2xy

A: Solution of these differential equation  Using y= vx

Q: V1- y²dx + /1– x²dy = 0 %|

A: Topic:- Differential equation

Q: test whether the differential equations are exact and solve those that are. (x-y) dx + (x+ y) dy = 0

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Q: Solve the differential equation ydx (2x + 1) (da – dy).

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Q: determine if the equation takes the linear form, if so, find the integrating factor and solve the…

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Q: dentify the type of differential equation and solve (3xy +3y -4)dx +(x-1)2dy = 0

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Q: Determine whether the differential equation (5x + 7) + (5y – 5)y' = is exact. If it is exact, find…

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Q: Determine whether given differential equation is exact. If it is, find the solution. (5y – 2x) y' –…

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Q: Solve the differential equation. (x and y are variables) (D2+4D)y=1+2x+3x2

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Q: Find the general solution of the differential equation except when the item stipulates otherwise.…

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Q: Solve the differential equation 2x dy/dx + y = 2x0.5

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Q: y? ху-х2-у2 dy dx

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Q: Determine the form of a particular solution for the differential equation. Do not solve. 2t y'- 10y'…

A: Find the homogeneous solution.

Q: solution to this differential equation: x3 ydx + (3x4-y3)dy = 0

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Q: solve the differential equation and express final answer with the value of C (3x^2 +y^2) dx + 2xydy…

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

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: test whether the differential equations are exact and solve those that are. 3xy dx+ (2xy + 4y°) dy =…

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Q: Find the general solution of the differential equation except when the item stipulates otherwise.…

A: The solution is given as

Q: (D² -1)y=2(1-e-2x)-1/2

A: Given differential equation is D2-1y=21-e-2x-12. To find: solution of the differential equation.

Q: Solve this differential equation (6x+1)y2dy/dx +3x2+2y3=0

A: Given differential equation is Comparing it with Mdx+Ndy=0, we get Since,  Therefore, given…

Q: Find the general solution for each differential equation. Verifythat each solution satisfies the…

A: We have to find general equation of the differential equation and we also have to verify the result…

Q: 1. (у — 2)dx — (х — у — 1)dy %3D 0 |

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Q: adв + Bda + ap(3da + ав) %3D 0

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Q: (D² +D-1)² y =0 ,when x = y = 0 , y' = y' = 1 , y" = -1

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Q: y' + (=) y = x*

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Q: Solve the differential equation. (ア+w)a-rの-0

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Q: (D²-1)y=2(1-e-2x) - ²

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Q: Find the general solution for each differential equation.dy/dx = 3x2 + 6x

A: the given differential equation is: dydx=3x2+6x we have to find the general solution of the given…

Q: "Find the general solution for each differential equation. Verifythat each solution satisfies the…

A: Differential equation:         3x2-3dydx=2=>3x2-2=3dydx=>(3x2-2)dx=3dy

Q: Check that the differential equation is exact and find general solution (2 + yexy)dx +( xexy –…

A: First we will find the values of M and N by comparing given differential equation with Mdx+Ndy =0…

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.