dy Determine the general solution of y = (3y³ + x) dx Identify the method of solution used in solving the given differential equation.

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: Find the particular solution to the differential equation d²y = 4e* + 3x² given y = -3 dx2 and = 3…

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Q: solve the differential equation dy * y t (yt-x*) ニ ans : -in ( )

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Q: Solve the differential equation d'y dy +4 = e-3x %3D dx dx by using the method of variation of…

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Q: 2. Solve the differential equation using separation of variables: dy + y² + y = 0 dx

A: The given differential equation is  xdydx+y2+y=0

Q: What is the particular solution to the differential equation = (x³ – 1)(2 – y) dx with the initial…

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Q: Solve the first order linear differential equation + xy = x, y(0) = –6. dx

A: A differential equation is an equation is x,y and derivatives of y. A linear differential equation…

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

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

Q: (3x– y)dx– (x– 5y)dy =0

A: Given: A differential equation (3x - y) dx - ( x - 5y)dy =0To Find : The solution of the given…

Q: Solve the differential equation 5(duldx)+3(du/dy)=2u using the method of separation of variables if…

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: solve the differential equation  a. dy/dx+9xy=x  x=0 and y=8 b. dy/dx+7x^6y=7x^6 x=0 y=5

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

A: Given:          dydx=y2-y2sinx  .....(i) To find:         The general solution of equation (i)

Q: (2xy + x)dy – [x² + y² + y + 1]dx = 0 When:x = 1; y = 0

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Q: yey dx = (y² + 2x e¹) dy

A: The given differential equation,     yeydx=y3+2xeydy

Q: Find the general solution of the differential equation 2(2x2+y2)dx - xydy = 0. Let x= vy.

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Q: dy + 2xydx = xe−x^2 dx find the general solution of the differential equation

A: We have to find integrating factor to solve the differential equation.

Q: Find the general solution to the differential equation x2+3xy+x(dy/dx)=0   The integrating factor…

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Q: the particular solution

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Q: Find the General Solution of this Differential Equation 2. dy/dx - 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: Find the general solution for differential equation.

A: Find the general solution or differential equationdydx=ex+xy-1

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

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

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Q: Find the implicit general solution of the differential equation given. Assume x and y are non-zero.…

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Q: Solve the differential equation using 3rd and 4th order RK method. dy/dx = yx3 – 1.5y, y(0) = 1,…

A: Formula for solving differential equation using 3rd order RK method Let y'=f(x,y) then…

Q: b) Solve the differential equation y(1-ysin(x))dx + (2x+3ycos(x))dy=0.

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

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Q: У (х + 1) dy dx хз + x2 -2х У(1.1) — 0.5

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

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Q: (1+Inx)dx +(1+Iny)dy = 0 when y(-2) =- 1.

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Q: Solve the Differential Equation x² (y² +3) y(x³+1) dy + dx = 0

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Q: Solve the given differential equation by separation of variables. exy dy =e-¯V + e-8x - y dx

A: In this question, we want to solve the given differetial equation using separation of Variables.

Q: 4. (y+ 2x) dy + dx = 0; x = - 1 when y = 0 %3D

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Q: 4x² d²y dx2 + y = 0 ;

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Q: Solve the differential equation using method of inspection: ( x3y3 + 1 ) dx + x4y2 dy = 0

A: Given that ( x3y3 + 1 ) dx + x4y2 dy = 0

Q: 2. Solve the given differential equation by separation of variables. x(1 + y²)/2 dx = y(1 + x²)!/2…

A: Topic- Differential Equation

Q: dy Find the general solution of the differential equation dz

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Q: Determine the function y = y(t) that solves the differential equation y' – 3y = t and has y(0) = 3.…

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Q: Q1) Solve a first order differential equation. dy -x + Vx² + y² dx y

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Q: Solve the differential equation using 3rd order RK method dy/dx = yx3 – 1.5y, y(0) = 1 find y when…

A: The solution of given differential equation using third order rk method.

Q: Find the general solution of the differential equation. (Use C for any needed constant.) (dx)/(dy) =…

A: dxdy=10-y Formula ∫adx=ax+C∫xndx=xn+1n+1+C

Q: dy Solve the differential equation: (1+ x) + y = 1+x dx with initial condition y(0)= 1

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Q: Solve the differential equation dy/dx = 6e^(2x- y) when x O when y = 0.

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Q: (a) y"+y' – 2y = 1+x

A: To solve the following differential equation  y" + y' - 2y = 1 + x

Q: Solve the differential equation: dy 1 1 1)y – x +1 = 0, y1= ax - - dx

A: The given differential equation is dydx-y2x-21x-1y-x+1=0. Substitute y=ax in the above equation and…

Q: determine the general solution of the given differential equation.  y(6) + y‴ = t

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