(5) Solve the differential equation by dy variable separable x°y- csc y dx

Q: show that function  y1=x-1 is a special solution of the differential equation y'=1 - ( y-x+1)2 and…

A: Given the differential equation y’ = 1 – ( y – x + 1)2 and we have to show that y  = x -1 is a…

Q: Solve the differential equation dydx = 5cos(x)y

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Q: Solve the differential equation (cosxcosy - cotx)dx - sinxsin ydy = 0

A: Solution of differential equations

Q: (x+2)? dy 2y dx x -4 x² -4

A: dydx+2yx2-4=x+22x2-4⇒dydx+2yx2-4=x+2x-2⇒y=∫x+2x-2dxx+2x-2x-2

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

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Q: The solution of the differential equation y" – 2y' = x + sinx %3D

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Q: Solve the differential equation – xtan(y – x) = 1 dx

A: Using substitution y-x=t We can reduce inform of variable separable

Q: Find the solution of the differential equation y"+y' = sin x %3D

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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: The solution to the differential equation (5x² – 3)dy + xy² dx = 0 - %3D

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Q: Solve the differential equation (2xy - tan⁡ y) dx + (x^2-x sec^2 y) dy = 0.

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Q: Solve the 2nd order differential equation: y-xy-(y)=1

A: Given the differential equation is  y'-xy''-y''3=1

Q: Solve the differential equation. (y + Sin y) y'   =  x + x3

A: Write the equation in terms of differentials and integrate on both sides as follows.

Q: The solution of the differential equation y" – 2y' = x + sinx

A: we have to solve the given differential equation

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

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Q: Solve the differential equation 1.) dy = (y²xe^3-3x²y)dx

A: Please see the below picture for detailed solution.

Q: y' + (2 tan x)y = - cos'x

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Q: 2. Solve the differential equation dy -e2y-cotx tan x dx

A: On differentiating the given equation, tan2 x.dydx=e2y.e-cotxe-2ydy=e-cotxtan2x.dxLet, cotx=t…

Q: The general solution of the differential equation by direct method: dy sec2 x dx 1+ 2 tanx y =…

A: According to the given information, it is required to find the general solution of the given…

Q: 5. Solve the differential equation with method of undetermined coefficients. y" + 2y' – 3y = x + cos…

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Q: *- 2- 2 - - 2 = 0 dx dx

A: The solution is given below-

Q: a) Solve differential equation dx + 2 dy x³ cos y %| - y

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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: 4. Solve the differential equation d'y d’y 1 dx dx by the method of variation of parameters extended…

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: Consider the differential equation curve if it passes through (1,-1). dy 2y dx x = 0. Find the…

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Q: Find general solutions of the differential equation          x^3+3y-xy'=0.

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Q: sec xdy – sin x sec xdx = 0

A: Using Differential equations.

Q: а) у +у — 1 y' +y = 1

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Q: Solve the differential equation y"-9 y+20 y= sin(x)--'cos(x)¶

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Q: the general solution of the differential equation (x + 3y- 5)dx + (x +

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Q: 4. y"-2y'+y =7+ 75 sin 2.x

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Q: Find the solution of differential equation 4 dx2 +y = sin).

A: The given differential equation is 4d2ydx2+y=sinx2. Find the solution of the differential equation…

Q: Solve the first order differential equation. (3x - y - 4)dy - (x + y - 4)dx = 0

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Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

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Q: solve the differential equation  (y+siny)y' =x+x^3

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Q: y"+4y=x² sin 2 u

A: See the attachment

Q: the general solution of the differential equation (2xy- sec2x) dx + (x  + 2y) dy = 0

A: First, find the exact form of the equation to which it belongs.

Q: Find general solutions of the differential equation  x^3y'=x^2y-y^3

A: the given equation is x3y'=x2y-y3 divide the equation by x3 y'=1xy-1x3y3            ...... (1)…

Q: Determine the form of a particular solution for each differential equation 1. y" - 2y + y = 10e -2x…

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Q: Solve for solution to differential equation. (2x-y) dx +(4x+y-6)dy =0

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Q: (1+x)y' + y = cos x, y(0) = 1

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Q: Solve the differential equation. 1 dy sec x 2 = ey+3 sin x dx

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Q: Find general solutions of the differential equation  (x^2-y^2)y'=2xy

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Q: Solve the differential equation (sec x) dy/dx = ey+sin x

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Q: 1. Solve given separable differential equation: y' + 2x(y² - 3y + 2) = 0

A: Let us consider the differential equation of the form  dydx=f(x)g(y) Solving the equation using the…

Q: (5) Solve the differential equation by variable dy separable x°y- csc y dx

A: A separable differential equation is any equation that can be written in the form y′=f(x)g(y). The…

Q: (x+1)dy = (2xe* – xy - 2y)dx

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Q: Find the solution of differential equation 4º+y = sin dx2

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