Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

Q: General solution of 2xydx+y^2dy=0

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Q: xetx dx + e2x-3у* dy 3D 0 хе y

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Q: Find the general solution of x(x + 3)dy = 2dy + √(9- y²)(12x + 9 + 4x²) dx.

A: We will separate variables and then will integrate it to find general solution of given differential…

Q: Find the particular solution of 3x ydx – (x + y)dy = 0 y(1) = -2.

A: 3x2ydx-(x3+y3)dy=0M=3x2yN=-x3-y3My=3x2Nx=-3x2Since My≠NxTherefore, Non Exact diff. eq.Find…

Q: Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2…

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Q: Find the solution of dy e y- dr ey +e-2x-y

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Q: Find the general solution of dy -2x6 dx y-4

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Q: Is y = e-x + 2xe-* a solution to y" + 2y' + y = 0.

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Q: Find the solution of 2y-y² sec²(xy²) + (2x − 2xysec² (xy²))y' = 0 given y(1) = 2.

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Q: dy りー! り(-)ニ。 x+3 2, xy' =1+X ら(4)=0

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Q: Find the general solution of: y(x°+x*)dx - x(x³+ y-)dy = 0

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Q: If y = f(x) is the solution of y' – 3y =-12.e 9z, f(0) =1, then

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Q: dy - y = e2*y³ dx

A: Let's Solve,

Q: particular

A: We find particular solution.

Q: Find the general solution using variation of parameters. y" – 4y + 4y = (x + 1)e²"

A: Given differential equation is, y"-4y'+4y=x+1e2x The auxiliary equation is, m2-4m+4=0m-22=0m=2,2…

Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

Q: Resuelva yDx - 2(x+y) Dy=0 O x² + 2y = cy² Ox+2=cy² O x + 2y = cy² Ox+2y=c

A: Given differential equation y D x-2(x+y) D y=0 The objective is to solve the differential equation.

Q: Find the general solution to y" – xy' = 0. -

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Q: Obtain the general solution. (xy + x) dx = 2 2 y + x + y¯ +

A: The given differential equation is…

Q: Give a particular solution for y" – 2y' + y = 1+x2

A: Given that a differential equations - y" -2y' +y = ex/1+x2.   We know that integration of 1/(a2 +x2)…

Q: Find the general solution of (x^2+x)dy=3dx

A: Given difeerential equation, (x2+x)dy=3dx

Q: (2x2y+3y3)dx - (x3+2xy2)dy = C Solve for Particular Solution when x = 1, y = 1

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Q: Obtain the family of solutions 1) xydx – (x² +3y² ) dy = 0 2

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Q: د؟ لر ول 3 y3 Xe dydx

A: We have to integrate the function fx, y=x3ey3 within the given limits of integration but the…

Q: Check that y Cx) = e* is the Solution of y" + y' - 2y = 0

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Q: Find the general solution of the lines Зу + 2 y - 2 )dx + ( 2x -+ 1 )dy = 0 4 2

A: Let us consider the given differential equation f(x,y)dx+g(x,y)dy=0 Using substitution,  x=X+hy=Y+k…

Q: 3. Find the particular solution of the linear equation dy + -y = dr 1. if y(1) = 0.

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Q: Find the solution to y - x+t y' = y if r(0) = 5 and y(0) = 4. %3D

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Q: 4. Solve the IVP y' = 2x-3y +e¯* y'= 2x- 3 y +e * with y(0) = 1 y(0)= 1

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Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

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Q: Find the general solution of +3 d² y dx3 + 2x² % + 2x + d²y dx2 dy + 4y = 10x¬1 %3D

A: The solution is given as

Q: Find the general solution of (2x – y) dy = 2y – x - da

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Q: y dx + (3x – xy + 2)dy = 0 solve by Linear method

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Q: 3. Obtain the general solution of: (x – y)(4x + y) dx + x(5x – y) dy = 0

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Q: 1l y" + 4y' + 4y = e-2x %3D x2

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Q: Find the family of solutions of the equation (x2y5 + y3)dx + (x3y4 + x)dy = 0

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Q: dy - Find the general solution of Y +2 = 3x²y² dx A. 1/(xy) = -3(x³/2) + C B. 1/(xy) = -3(x²/2) + C…

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Q: Give the general solution of: dw/dx + (4w)/x = x3

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Q: 3 2x y°e*dydx

A: To Evaluate the integral given below:-I=∫02∫04[y3e2x]dy dx-(i)Computing the definite…

Q: Obtain the general solution to the equation. dy y + 7x +1

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

Q: What is the general solution of differantial equation?  Whicf of the options x² - y² + xy dy/dx =0

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Q: Vy² – 25 dy y3

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: (Think homogeneous) Solve explicitly (y² - xy) dx + x²2dy = 0

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Q: Show that xy – 2 = cxy is a solution of (x² + y2 – x)dx – ydy = 0.

A: Given  x2+y2-xdx-ydy=0 dydx=x2+y2-xy

Q: Find the particular solution of (d2y/dx2) = 4x3 - 2x; y' = 4/5 and y = 1 when x = 1

A: Given differential equation, d2ydx2=4x3-2x       ...(1) y'=45 and y=1 when x=1

Q: Find formulas for dy and Ay if y = x² – 7x + 3.

A: To give the formula dy = f'(x) dx and    ∆y = f(x+∆x) -f(x)

Q: OBTAIN THE GENERAL SOLUTION (x - 1) dx - (3x - 2y - 5) dy = 0

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Q: Determine the value of C if f(x,y) = C is the solution of (x+ 2y-3)dx+(x+2y+1)dy3D0 for x=94 and y=…

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Q: Obtain a particular solution for + + +y = x³ + 2x + 1 dºy, d²y dx4 dx²

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