xydx + 2(x2 +2y)dy=D0; when x= 0, y= 1

Q: Find the particular solution for the differential equation y' = 4xe2x and y(0)=20.

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Q: Find the general solution of seperable differential equation dy/dx=x3y2

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Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?

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Q: Using an appropriate substitution, solve the differential equation zdy/dz + y = 1/y²

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Q: ху xy' = y(1+ln2)

A: The given differential equation is  xdydx=y1+lnyx

Q: solve the first order of differential equation dy/dx = y2 -4 using seperable method

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Q: What is the particular I solution of the differential equation (2x + y²) dx + 2xydy = 0 when x = 1…

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Q: What is the particular solution to the differential equation * + (1 + x)y = 12 with y 0 and = 0 when…

A: The solution is given as

Q: What is the general solution to the differential equation (2x- 2y- 3)dx (2x*- 4y-2)dy?

A: We have to solve the given 1st order differential equation.

Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

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Q: III. dy y³ dx x²y-xyz

A: Sol:- y' =y3x2y-xy2Substitute y=vx, v is a function of xxv' +v=v21-vRewrite in the form of a first…

Q: What is the particular solution to the differential equation dx 1 + y = 2e-* with y = 1, dy -1 when…

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Q: Determine the solution to the differential equation given by: y'=6y2/x

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Q: A solution for the differential equation is y = Pe-3x/2 + Qe-x/2.

A: Here P and Q are two Arbitary constant ,so the heighest order of the differential equation is 2.

Q: Find the particular solution for the differential equation y' 4xe2x and y(0) =20.

A: Given that a differential equation and we find its particular solution . and also given that a…

Q: II. dy dx 2x² x(y² + 1)

A: We have to find the best way to solve the given First Order Differential Equation by Finding…

Q: How can you sometimes solve a differential equation of the form dy/dx = ƒ(x)?

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Q: Find the particular solution to the differential equation. 2y2 dx = 9x2 dy when x = 2, y = -3

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Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1

A: this is variable separable differential equation will separate the variables on both sides and then…

Q: Find the solution for the second order differential equation y-4y = x sinh x.

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Q: Give a general solution of the differential equation y"+4y=-3 sin 2t.

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Q: (3x-y+6)dx + (6x -2y-6) dy=0 hint: Case 1

A: Given differential equation is                    (3x - y + 6)dx + (6x - 2y - 6)dy = 0

Q: If we use the method of variation of parameters, the particular solution of the following…

A: We have to assume the appropriate solution first.

Q: How can I solve this differential equation? (x^2+1)(dy)/(dx)+y^2=-1, y(0)=1

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Q: (a) y = Ae + Be+Ccos 2x + Dsin 2x

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Q: Find the general solution of the differential equation: 3ydx = (3x + 1)dy

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Q: Find the particular solution to the differential equation y - y - 2y =- 2e when y(0) = – and y (0) =…

A: The characteristic equation of the given differential equation is m2-m-2=0. So,…

Q: What is the general solution to the differential equation (3x+2y+4)dx+(3x+2y-3)dy=0?

A: An equation which involves the derivative or differential coefficient is called differential…

Q: What is the general solution of the differential equation; y’ = 2x cos (x^2)

A: solution:-y'=2x cosx2solving the differential equation we getdydx=2x cosx2y=∫2x cosx2 dxlet x2=t2x…

Q: The general solution of the differential equation 2x(y + 1) dx — у dy is:

A: Given the differential equation: Now,

Q: y' = (4x + y)²

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Q: What is the particular solution to the differential equation [x+(1+x)y] = 12 with y = 0 and =0 when…

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Q: Find the general or Special Solution to the differential equation 2 y = (x-y₁²

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Q: The general solution for the flowing differential equation is (3x²+ycosx) dx +(sinx-4y )dy =0

A: The equation is given by: 3x2+ycosxdx+sinx-4y3dy=0 The equation is of the form Px,ydx+Qx,ydy=0…

Q: How would you solve the differential equation y'=2t-y using separation of variables to find y(1)?

A: Consider the given differential equation, y'=2t-ydydt+y=2t The above equation cannot be solved by…

Q: Match the differential equation with its solution. y' - 4x'y = x3 %3D

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Q: Find a particular solution to the differential equation using the Method of Un + 4y = x ex dx dx

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Q: y' + xe*-y = 0

A: To Obtain the general solution of the Differential Equation

Q: A solution for the differential equation is y = Pe-3x/2 + Qe–x/2, %3D

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Q: ) xy dx - (xt2) dy =0

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Q: (2x+3y-5) dx + (3x-y-2) dy=0 hint: Case 2

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Q: Find the solution of the following Differential Equations by homogenous equation 7) y'=(y-x)

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

Q: To solve the differential equation 3+ ty = sint, y(0) =5 by the 4th order dt Runge-Kutta method, you…

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Q: What is the General and Particular solution of the Differential Equation 2x(y+1)dx-ydy=0? Where x=0…

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Q: Determine the solution to the differential equation given by: y' + 2y = 4 cos x

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Q: Find the general solution of the given differential equations. y" – y' – 2y = cosh(2x)

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Q: What is the solution to the equation for the differential equation x^(2)y''+3xy'+y=0

A: The given problem is to solve the given differential equation , the given differential equation is…

Q: y" + y' – 2y = 0

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Q: To solve the differential equation 3 + ty = sint, y(0) =5 by the 4th order dt %3D Runge-Kutta…

A: standard form for Runge-Kutta method for solving first order differential equation is: dydx = f(t,…

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.