(6) Solve the homogeneous differential equation (x – y)dx – 2xy’dy = 0 - |

Q: Find the general solution for differential equation.

A: Derivative of a variable measures the rate of change of it with respect to some other variable. A…

Q: 8. Use a substitution to solve the homogeneous 1st order differential equation (x – y)dx + x dy = 0

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Q: 4. Solve the homogeneous differential dy equation dx + 9xe x .

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Q: Find the solution of exact differential equations Xy-1/x^2y. dx - 1/xy^2.dy3D0

A: The exact differential form of a differential equation is written as M·dx-N·dy=0 where ∂M∂y=∂N∂x.

Q: Find the general solution for differential equation.

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Q: 6. Solve for the general solution of the differential equation using exact equation [2x + y cos…

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Q: 1. Solve the differential equation y(x +y) dy 2 dx "homogeneous" x2 with y(1) = –1.

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Q: 3) Solve the differential equation (2x2 + y)dx + (x²y – x)dy = 0 by finding an integration factor…

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Q: 1. Determine the solution of the differential equation y' - yx = -x given that y (0)=X

A: Part 2 number 1 To solve: The differential equation is y'-yx=-x,y0=X Calculation: Solve the…

Q: (x² - 1) Y +2xy = 1 solution of differential equation is dy %3D | dx

A: Introduction :

Q: 4. Find a third-order linear homogeneous differential equation which has the function r(t) = 3e-t +…

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Q: solve the differential equation (2x+y cos(xy))dx+x cos(xy)dy=0

A: Solution:                    The given differential equation is                   2x+y cos…

Q: Find a solution to the differential equation (x + 1)y' + 3y = x such that y(0) = 5. You may assume…

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Q: Find the particular solution of the differential equation 2xy′ − ln x2 = 0, x > 0 that satisfies…

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

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Q: Find the Homogeneous Differential Equation of: (x2-xy+y2)dx + xydy=0

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Q: Find a general solution of the second-order nonhomogeneous differential equation y" - 2y' + y =…

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Q: 2. Solve the differential equation: (y² + xy°)dx + (5y² – xy+ y° sin y)dy = 0 by finding an…

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Q: 4. Solve the differential equation 2x(2x – 1)- (x + 1)+y = 0 using the method of Frobenius. dx2…

A: 2x2x-1d2ydx2 +x+1dydx +y=0                       eq.(1) To solve by Frobenius series.

Q: 5, a) Solve the differential equation dy x+2y-1 %3D dx 2x-y+3

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Q: -The Bernoulli's form of the differential equation 2x'dy-y(y² +3x)dx=0 is

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Q: Find the general solution of the differential equation. (x'' 1) y' osx ca-y) こ

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Q: Solve the initial value problem for the differential equation: xy' = y + x2 sinx where y(n) = 0

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Q: 2. Solve the differential equation using undetermined coefficients satisfying the given conditions.…

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Q: y+ e*y= e*y²

A: Given differential equation is : dydx + ex y = ex y2   ⇒ dydx = ex (y2 -  y)   We will use…

Q: 7. y(y3 – x)dx + x(y³ + x)dy = 0 %3D

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Q: /solve the differential equation ty-y'sinx-x)+(3x +zy.osx)d

A: We have to solve the given differential equation. Given differential equation is in the form of the…

Q: 3. Determine the solution of the differential equation +-y x3 given that y (1)-A dx + R

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Q: Find a linear homogeneous differential equation with constant coefficients so that the general…

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Q: xy' - y = x, y(1) = 7

A: The given differential equation is xy'-y=x, y1=7. Therefore the given differential equation can be…

Q: Solve the non-homogeneous differential equation of 6y"-y'-y=1-x-x?

A: Given differential equation is  6y"-y'-y=1-x-x2

Q: Find the general solution of the non-homogeneous differential equation Y” –  2Y’  + Y  =  4 cos x

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Q: Solve the first order linear differential equation:  xy'+2y=-x3+x         ,          y(1)=2

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Q: निर्न Cx-3)e

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Q: Find the solution of the given homogeneous differential equation: xcsc ) - y dx- %3D

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Q: Solve the linear differential equation of order one 2x(y−x^2)dx+dy=0

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Q: 1. Find a homogeneous linear differential equation with constant coefficients whose general solution…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: B2. Find the general solution of the linear differential equation. (tan-ly-x) (1+y²) dx dy

A: Concept Used: A first order differential equation is said to be linear differential equation if it…

Q: 7. Solve the non-homogeneous differential equation (D2 – 2D + 1)y = 2e*; y = 0 when x = 1 or –1. -

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Q: Determine the solution of the first-order ordinary differential equation: 2y' +4y- 4y cos x 0

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Q: 3. Solve the differential equation by obtaining y(x) dy + -y = xy dx 1

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Q: 6. Solve this homogeneous differential equation. [ (x² – y²)dx + xy dy = 0

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Q: Solve the differential equation. (x + y) dx + (2xy + x In 3x) dy = 0 %3D 1 when x =, y = 2 3

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Q: x Iny dx + (x- In y)dy = 0

A: Use  term 'y ln (y)' instead  of 'x ln(y)' then we get the solution to DE.

Q: 2. Determine the solution x(t) of the differential equation * + 2x + x = 0, x(0) = 1, *(0) = 1

A: Given differential equation is: x''+2x'+x=0 And the initial conditions are x(0)=1 and x'(0)=1 The…

Q: 2. Solve the differential equation (3x² – a³ + 3y – 3ry – y*)dx + 3(x + y²)dy = 0, by determining an…

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Q: 1. Solve the differential equation dy y²sin(2x)sin²(x) = 0, y(0) = 1 dx - %D

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Q: Solve the differential equation 2√xy dy/dx = 1, x, y > 0

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Q: 4. Find the general solution of the differential equation using the method of undetermined…

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Q: Find the general solution to the differential equation: 3y[In(x)] - 2xy' = 0 for x,y # 0 %3D

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