What is the differential equation corresponding to the general solution y? = Cx3? dy _ 2y (A dx 3x dy B dx 3x 2y dy _ 2x 2y dx dy _Зy dx 2x

Q: (5x2 – y) dx + x dy = 0 (5x2 – y2) dx + 2ydy = 0 %3D

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Q: Show that the function y = f(x) is a solution of the differential equation.

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Q: What is the general solution to the differential equation (6x-3y+2)dx+(y-2x+1)dy=0

A: Here we use the substitution method for finding the general solution let us substitute v=y-2x

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: Find the differential equation of dy 2y-y dx X-y

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Q: What is the particular solution to the differential equation = (x – 1)(1 y) with the initial…

A: givendydx=(x-1)(1-y)we will solve this equation by Variable separable method

Q: What is the integrating factor of the non-exact differential equation (4ху+ 3у?-х)dx + (x2+2ху)dy…

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Q: Find the general solution for differential equation.

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Q: Find the solution of the differential equation that satisfies the given inital condition.…

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Q: solve the differential equation dy/dx=2x^4sqrt of y, y.0

A: Solution of given question is written in below steps.

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

A: Introduction :

Q: Find the general solution of the differential equation.

A: Here we have to find the general solution of the differential equation;  dydx=x4-x2…

Q: Show that the solution of the differential equation (1+y^2)dx+(1+x^2)dy = 0; y(0) =−1 is xy−x−y−1=0.

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Q: 1. ax дхду?, 2. dy + 2x+ y = x² + 2 3. дхду = y

A: Due to our guidelines, we can solve only three subparts plzz reupload rest question by mentioning it…

Q: What is the general solution to the differential equation sin y (x + sin y)dx + 2x² cos y dy = 0 ?…

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Q: Determine the solution to the differential equation given by: (2xy-9x2)dx+(2y+x2+1)dy=0

A: Here,      2xy-9x2dx+2y+x2+1dy=0⇒2xy-9x2+2y+x2+1dydx=0⇒2xy-9x2+2y+x2+1y' =0Here, ∂Mx, y∂y=∂Nx, y∂x.…

Q: Solve the differential equation by using variation of parameters: d'y dy 3 dx 3x + 2y = e dx .A 3x y…

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Q: Find the differential equation of dy/dx = x+y/x-y

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Q: Determine the particular solution of the differential equation dy y -= 3xe7* ; y(1) = 0 dx

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Q: 5. (-3x + y – 1)dx + (x + y + 3)dy = 0

A: Given , differential equation. (-3x+y-1)dx+(x+y+3)dy=0 It is of the form M dx + N dy=0 Now we need…

Q: Find the linear differential equation of the bernoulli’s equation dy/dx-y[1/(2x)]-y^5=0 using dv/dx.

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Q: Find the solution to the differential equation dy/dx + y^2sin(x) = 0 which satisfies y(0) = −1.

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Q: Solve the differential equation dy dx 3y3 1 %3D By the method of separating the variables y = x³ y =…

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Q: Find the general solution of differential equation dy/dx = (y^2x + x^3)/(x^3-x^2y)

A: We need to solve dydx=y2x+x3x3-x2y. So,              dydx=y2x+x3x3-x2ySubstitute  dydx with y'.⇒y'…

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

A: To solve the differential equation of the type, dydx=ax+by+ca'x+b'y+d Since the equation is not…

Q: Find the complete solution of the differential equation using separation of variables dy 2х + 2ху?…

A: Given

Q: 9. Use separation of variables to find the general solution of the differential equation. dy = sinx…

A: option b is correct . see 2nd step.

Q: What is the general solution to the differential equation (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0…

A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: Find the solution of the differential equation that satisfies the given initial condition. dy 3XEY,…

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Q: Show that y is a solution of differential equation = 1-. dy %3D dx

A: y'(x)=1-yx We can simplify it as: dydx+yx=1First-order linear ordinary differential equation.…

Q: Use separation of variables to find the general solution of the differential equation. dy 5x2 + 7 dx

A: Given:

Q: What is the solution of the differential equation of (2x° + ry? + 2y +3) dr + (x²y + 2x) dy = 0 ?

A: We have given differential equation,   Differential equation is of the form,     Mdx +Ndy=0 Firstly…

Q: Find the differential equation 3(x2 + y2)dx + x(x2 + 3y2 + 6y)dy = 0

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Q: 4. Use integration to find a general solution of the differential equation. dy -5x³ +x dx a.…

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Q: dy. = | + X + xy +メ dx

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Q: Find the solution of the differential equation y" + y' = sin x -sinx +cosx а. y = C1 + C2 e¬x SX b.…

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Q: Select the function which is a solution of the differential equation. y" – 2y + 10y = 0 O y = 3e*…

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Q: 2. (xy +x)dx = (x²y² + x² + y² + 1)dy

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Q: The Differential equation dx + 2x (y + 1). (y + 1)³/2 is dy equivalent to

A: We have to find equivalent differential equation. To find equivalent differential equation we can…

Q: Find the general solution of the differential equation - 3y = x*cosx. dx dy osx. -

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Q: What is the simplest form of the integrating factor for the differential equation y' +…

A: Given: The differential equation is y'+2sec xy=cos2x. To find: The correct option for the…

Q: 2xydx – (y² – x²)dy = 0 ; x= 4, y = 0

A: Note the following exact differential equation : x dy+y dx=dxy 2xy dx+x2dy=dx2y .

Q: Show that (y^2-1)^2=Ax is the general solution of the differential equation 4xy dy/dx =-1+y^2.

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Q: Obtain the solution of the differential equation (3 sin y − 5x)dx + 2x^2cot y dy = 0

A: Given the DE is 3siny-5xdx+2x2cotydy=0.

Q: 2(dy/dx)+3y=sin2x, y(0)=6 what is the particular solution to the differential equation

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Q: What is the particular solution of the differential equation (x+y) dx + (x - y) dy = 0 when x = 0…

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Q: 手u等() dy dy seex dy-o 2 csey dx+ secx dy-o

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Q: Find the solution of the differential equation (x+y − 4)dx − (3x − y − 4)dy = 0; when x = 4, y = 1

A: The given differential equation is: x+y-4dx-3x-y-4dy=0⇒x+y-4dx+-3x+y+4dy=0