Solve the Bernoulli differential equation dy 2 y3 +-y dx X x3

Q: Solve the linear differential equation. dy(xy + 2y³) + y²dx = 0 %3D

A: Given,dyxy+2y3+y2dx=0Let y be the dependent variable. Divide by dx:dydxxy+2y3+y2=0Substitute  dydx…

Q: Find the particular solution of the differential equation dy 6x° e -x* : y(0) = 3 dx

A: We need to integrate both sides for particular solution

Q: Find the general solution of the differential equation.

A:

Q: Solve the non-homogeneous differential equation dy x + y + 4 dx 2х + 2у + 4

A: It is non homogeneous differential equation.

Q: dy x2 + 2y = x'(x²y)* dx

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Q: Solve the given differential equations: dy x3 1. | dx 2+y²

A: The solution is given as

Q: Calculate the value(s) of C for which y=x'-2C is a solution to the differential equation dy -3y-54 =…

A: We have to find the value of C

Q: SOLVE THE DIFFERENTIAL EQUATIONS. ( 3x2y + ey )dx + ( x3 + xey – 2y)dy=0

A:

Q: Find the general solution of the differential equation.

A: The general solution of a differential equation is an expression of y in terms of x. To find the…

Q: Q2-Solve the differential equation dy = y - xcos² (2 dx x

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Q: x²ydx – (x3 + y³)dy = 0

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Q: dy dx x+y2

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Q: dy (x2 — 9) + ху %3D0 + ху — 0 dx

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Q: Find the general solution of the given differential equation. x dy/dx + 3y = x3 − x

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Q: Find the complete solution of the differential equation d²y dy +6- + 9y = 5x2 -3 dx dx2

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Q: Solve the given differential equation. x2y" - 3xy' - 3y = 0 y(x) = ,X > 0

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Q: The solution of the differential equation (e* +1)ydy =(y+1)e* dx is:

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Q: Find the solution of the differential equation. xdy+(2xy+y-x(e^-2))dx=0 ; y(1)=e^-2

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Q: dy x3 dx 2+y²

A: Let's solve given diffrential equation.

Q: Solve the given differential equations: dy x3 1. = dx 2+y²

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Q: (y² - xy) dx + x² dy 10

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Q: 5. dx- 2xy dy = 6x³ y² e¬2y* dy

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Q: (a) Find the general solution of the differential equation d²y dx² +9y = x² + x + 1.

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Q: y' +2- Jy = 0, y(1) = 0

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Q: Solve the Euler Cauchy differential equation d²y x2. dx2 dy +y32(Inx) dx -

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Q: Solve the differential equation dy 2y3 dx yx? + y3

A: Given:            dydx=2y3yx2+y3

Q: Find the general solution of the differential equation (D²+D= 12)y=3e cos(2x).

A: We are given the following differential equation D2+D-12y=3e-xcos(2x). The characteristic equation…

Q: Solve the Bernoulli differential equations: dy/ dx + y/x = y^2

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Q: Obtain the general solution of the given differential equation. (2xy + y) dx + (x²- x) dy = 0

A: To find: The general solution of differential equation. Formula used: Separate the variables:…

Q: Find the general solution of the given higher-order differential equation. ²y - 32y = 0 dx² X(X) 11…

A: Find the general solution of the given higher-order differential equation.

Q: dy 2 y -x²y² dx

A: Solution: This equation is a Bernoulli Equation i.e. dydx+Py=Qyn where P and Q are functions x

Q: Solve the given differential equations: dy x3 1. dx 2+y²

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: b) Solve the linear differential equation. dy(xy + 2y³) + y²dx = 0

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Q: d²y dy -4. +3y = e²x dx? dx

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Q: Find the general solution of the differential equation dy 2x2 + 3y? Xy dx

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Q: Solve the linear differential equation dy y = 2x2 - %3D dx x

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Q: Find the general solution to the differential equation dy x3 dx x² – 1

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Q: 1. Determine whether the differential equation d²y dy dx² dx has the solution y xe22 = 28 2x e²x +…

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: Find the general solution of the differential equation. dy/ dx= x2(√x − 3)

A: ∫xndx=xn+1n+1+C

Q: I. Solve the differential equation. (y-1ldv +x Cx+1)dy = o

A: Solution:

Q: Solve the Bernoulli differential equations: (x) dy/ dx + y = y^2 x^2 ln x

A: Given:- x dy/dx +y=y2 x2 ln(x)  To find:- General solution of given Bernoulli differential equation

Q: Find the solution of the differential equation. y dy + (y^2 - x) dx = 0

A: on solving this we get

Q: Find the general solution of the given differential equation. x²y' + xy = 2 y(x)%3D

A: This is a problem related to differential equation. Based on the general formula we will answer the…

Q: Find the particular solution of the differential equation. dy 7 - 7x° e -×' ; y(0) = 4 dx y =

A: See below the answer and calculation

Q: The solution of the differential equation dy x+x+2xy %3D dx x2+1

A:

Q: The general solution of the differential equation (x + y)°dx – (y² – 2xy – x?) dy = 0 is

A: Here we have to find general solution of given differential equation

Q: dy – 4y = x*e* 12. x- dx

A:

Q: Solve the differential equation of dy/dx + 1/3 y = e^x y⁴

A: Divide both sides of the given differential equation by y4 to obtain the right hand side y free.…

Q: Solve the differential equation. dy = 3x²y² dx -1 3 x + c +c for y # 0

A: We have to solve the differential equation