Solve the first ODE and find the value of C constant when v(1)-2 dy 6x2 + 4x + 4 dx 4y

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A: The solution is given as

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A: Given differential equation is x2dy + (3xy-1)dx = 0

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A: This is homogeneous ordinary first order nonlinear differential equation

Q: Solve for the value of C in the equation (2x^4e^y + 2xy^3+y)dx+ (x^2y^4e^y-x^2y^2-3x)dy=0 when…

A: given 2x44ey'+2xy3+ydx+x2y4ey-x2y2-3xdy=0

Q: Determine for which values of m the function 4(x) = x" is a solution to the given equation. Ta) 2x…

A: Hey, since there are two questions posted, we will answer the first question. If you want any…

Q: Solve the ODE by finding an integrating factor for exact equations. (2xy2+3x)dx - 2xydy=0

A: Recall: If the equation M(x,y)dx +N(x,y)dy=0 is not exact and ∂M∂y-∂N∂xN is a function of x only…

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Q: Q2) Solve the D.E dy + (xy-xy2)dx 0 %3D

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Q: Find all values of the constant c so that .2 (xy + 1)dy dx = 4 + 4c.

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Q: Use separation of variables to find the general solution to the ODE 2,3 x*y° dx +e¬* (y? – y) dy = 0

A: We solve the given differential equation by separating the variables.

Q: Use appropriate substitution to reduce the following equation to a variable separable and then dy 3x…

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Q: Solve the ODE: (x² – y²e² )dx + (x² + xy)e#dy = 0.

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Q: Solve for m | |m8xy+x)dxdy=3, 0<y<x<1

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Q: (2y² + 3xy – 2y + 6x)dx + x(x + 2y – 1)dy = 0

A: The differential equation is given as (2y2+3xy-2y+6x)dx+x(x+2y-1)dy=0 Let the integrating factor be…

Q: Solve for C when x=y=0 dm (s – 1) – = m + 2(s – 1) ds O None of the choices O 1 O 2 O -1

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Q: F. Solve the following by Substitution Method. dy = (-5x + y)² – 4 dx 2.

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Q: Solve the given ODE: dy :- y = /9x² +y². dx

A: Given: xdydx-y=9x2+y2 For finding solution of given differential equation, first we simplify it So,…

Q: Q2: Solve the second O.D. equation d?y dy + 3 + 2y = 2(e-2x* + x²) + cos3x dx2 dx 1 Add file

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Q: Xy = ý+2xy is DE, solve it:

A: ..............(1)

Q: Solve the following DE: (2æy + 3z?) da + (2x²y+4y) dy = 0

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Q: dy solve for the general solution : = (-5x + y)² – 4 dx Select the correct response: 3(1 — севг) a y…

A: We have to find the integral of the above function.

Q: Q: Classify and Solve dy + (1- 2x)y 4x ,x >0 dx

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Q: 3,3 (xyリdk+ x°dy : 0

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Q: (2x – 3y) dx + (2y – 3x) dy

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Q: 2. Solve: x dy + y dx = 5x^2 y^3 dy

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Q: Q.2) a) Solve (D² + 1)y = 3x – 8 cot x where D %3D dx

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Q: A.) solve for x and y : ( x+ jy)2 =(2+j4)

A: Given: x+jy2=2+j4 To Find: To solve the given equation for x and y

Q: Find all values of the constant c so that (2x + y) dx dy = 3.

A: Given: ∫01∫0c2x+ydxdy=3 To find value of c. Solving the given integral, we get…

Q: Solve: -4t Jydt=e s(t -3) %3D yro) =0 , y'c0=0 y'co) = 0 %3D

A: I have find CF and PI for the given equation

Q: Q) Find the general solution. dy x+ secx(xsinx + cosx)y = secx dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the 2 dy JX Following initial value proble x-2x 4 + T XI 4

A: We have to solve the given initial value problem.

Q: Solve the egjuation ditferential (2x-3y+5)dx+(3x-2y+2)dy=0

A: Given the differential equation is                     (2x -3y +5)dx + (3x -2y +2)dy = 0

Q: (c) Solve for each of the following. dx (i) Vĩ + Jỹ = 4 (ii) y = 2x2+1

A: We have to find the first derivative of given function.

Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: ) solve the ode: dx - (x + y + 1)dy = 0

A: We know that derivatives power rule is - d(xn)/dx = nxn-1. And integration power rule is -…

Q: Find a value for the constant A so that: 4(3x + 5)' dx : (3х + 5)" + C A

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Q: Solve the first ODE and find the value ofC constant when y(1) 2 dy 6x + 4x + 4 4y dx Your answer

A: Ordinary differential equations

Q: Solve for the general solution of the give ODE. х+ хе"х + уе 'x y' = ', where x # 0 2y 2хе х

A: Differential equation

Q: || dy 3. dx 5x2y and f(0) = 6, solve the separable

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Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

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Q: he. dvx) The general solution to the equation 4x+2y–1 dx **n(2y+ 2x-2)-/r+2y-1-(-1+/2x+2y=1)+{na(1+…

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Q: Solve the First ODE : (xy)(dy/dx)=x^2+2y^2, You should get the answer ?^2 = ??^4 − ?^2

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Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2

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Q: Find the general solution using substitution each of the following DE: 2.) 4(2x + 3y + 5) dx + 3(2x…

A: The given differential equation is: 4(2x + 3y + 5) dx + 3(2x + 3y + 7) dy = 0 This differential…

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0 %3D

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