owing dirferen tial equations: = xy dy %3D dy

Q: (x³ + 3y) dx edy = 0

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Q: Find the solution of the following Differential Equations 9ア=ノーX+1 アーx+S

A: Differential equations are the equations that relates one or more functions and their derivatives.

Q: Find the general and Singular Solution of the following differential equation p² + 2 py cotx = y² +…

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Q: Find the solution of the following Differential Equations by Homogenous Equation 2) xy' = 2x + 2y

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Q: Find the solution of the following Differential Equations 16) y'+y = xy

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Q: mydx = nxdy Ans. x" = cy"

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Q: Find the complete solution to the following differential equation using MUC: * (D* - 4D²)y= x² +e*

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Q: Apply the undetermined coefficients method to find a particular solution of the following…

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Q: 1 1 -y² 4x 1 y' 4x 2xp = 2

A: Givendydx=y24x-y4x-12x,yp=2

Q: Obtain the general solution of the following higher order differential equation. 5. (2D4 – 128D)y =…

A: We have to find the general solution of the 4th order differential equation 2D4-128Dy=0 where D=ddx.…

Q: Find a solution of the following differential equation after first obtaining an appropriate…

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Q: Solve the following Bernoulli’s differential equations 2ydx + x (x^2 ln y - 1)  dy = 0

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Q: Solve the following differential equations (a) y/ = (b) = %3D ytev

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Q: Use any appropriate method in finding the indicated solution of the following differential…

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Q: (2x+xy)dy+2ydx=0

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Q: Find the solution of the following Differential Equations 22) vdvl dx =C,v(x,)%3DV0

A: The given differential equation is: vdvdx=C ;          vx0=v0

Q: dv 8) v(v + 4u) – 2(u? – v) = 0 du

A: The given differential equation is                         v(v+4u)-2(u2-v)dvdu=0

Q: Find the general solution of each of the following differential equations: LINEAR DE dx 4х = y5 dy у

A: For the differential equation of the form, dxdy+p(y)x=q(y) , the integrating factor, μ(y) is defined…

Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: Solve the following second order nonhomogeneous linear differential equation. y''+4y=0 y(0)=-2…

A: y''+4y=0 find roots r2+4=0 r2=-4 r=±-4 r=±2i r=2i, r=-2i for complex roots general solution is…

Q: Find the solution of the following Differential Equations .by Exact (2 ydx+ dy)e²* = 0

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Q: Find the solution of the following Differential Equations 5) x*y'+2xy = sinh(3x) 6) y'+y=(x+1)²,…

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Q: (5y – 6x)dx + rdy = 0

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Q: x² ex³-y² dx + y dy = 0 %3D

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Q: y" — Зу + 9у — 0

A: Given; y''-3y'+9y=0

Q: 2. y lnxlny da + dy = 0

A: Firstly Separate the variables and after that integrate.

Q: Find the general solution of each of the following differential equations: BERNOULLI'S Equation dy…

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Q: Find the solution of the following differential equation. 1. (x² – 1) + 2y =

A: We will find out the required solution.

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Q: Find a Particular Solution for the following differential equation y" – 4/ – 12y = 2t3 -t+ 3

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Q: Use the method of separation of variables to find the general solution to the following differential…

A: 1. Consider the differential equation Q'=Q4+Q2. Let the independent variable be t and thus we have…

Q: 1 y' = 4x Yp = 2 4x 2x

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Q: Find the solution of the following Differential Equations 13) y'+xy = xy

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Q: y" + 4y = 3 csc²(2t)

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Q: (х + 3у — 4)dx + (х + 4у—5)dy %3Dо

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Q: Find the solution of the following Differential Equations 7) y'+ ky = e * -kx

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Q: Find the solution of the following Differential Equations By Exact 1) ydx+xdy 0

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Q: xdy- ydx = 2x(x2+ y²)dx

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Q: 6. y = xy' + (y')²

A: The clairaut differential equation is, y = xy’ + (y’)2 ……(1)   Differentiate the above equation with…

Q: 4. y2dx - x(2x + 3y)dy = 0

A: Solve the above differential equations.

Q: Solve the following higher order differential equation given that y(0) = 1, y(1) = 2 y" – 10y + 25y…

A: Given:   To determine: Solution of given second order homogeneous equation.

Q: Find the solution of the following Differential Equations 7) y+ky e

A: Given,  The differential equation  y'+ky = e-kx   We have to find the solution of the differential…

Q: 3. [a csc (2) – y] dæ

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Q: Find the solution of the following differential equation. 1. (2 – 1) + 2y = (x+1)² - dz

A: (1) The differential equation is given as , x2-1dydx+2y=x+12 Find the solution.

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.