(y - x + 3)dx + (x + y+ 3)dy = 0; x = 1; y = 4

Q: Find the solution of the following Differential Equations 9) y'=-x+1 ソーX+5

A: The given differential equation is: dydx=y-x+1y-x+5 Now substitute: y-x=v⇒dydx-1=dvdx⇒dydx=dvdx+1

Q: Solve the following Differential equations. 3. (x-2y) dx + ( 2x+y) dy = 0

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Q: The general solution of the following differential equation y(4) – 16y = is:

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Q: Solve the following first order differential equations.  yy' = (y2 - 1)(x2 + 1)

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Find the solution of the following Differential Equations 5) y'= -x y+x

A: As per guideline we have to solve only one question

Q: x²ydx – (x3 + y³)dy = 0

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Q: Find the general solution to the following differential equation: y" - 2y'+y=x²-1

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Q: (x5 — y2 )dx + 2xy dy = 0

A: Given: (x5 — y2 )dx + 2xy dy = 0

Q: Find the general solution of the following differential equation. -2,,4 (2) x²y" – 2xy' = x=2y4 -

A: Differential equation is the combination of variables and their derivative forming an equation. We…

Q: Solve the differential equation of the following (x-3y+2) dx + 3(x+3y-4) dy = 0

A: The given differential equation is  (x-3y+2) dx + 3(x+3y-4) dy = 0

Q: Solve the following differential equations 1. (x + y- 10) dx + (x-y-2) dy = 0

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: 3. Solve the given differential equation xy dy - (x2 +y)dx

A: The given differential equation is  xydy - (x2 +y2)dx = 0 (x2 +y2) dx - xydy=0

Q: Evaluate the solution for the following differential equation y" – 2y' + y = x2

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Q: 4) x ·+y Bernoulli dx

A: I have applied Bernoulli  then it converted to Linear Differential equation then I solved it.

Q: 1 1 -y² 4x 1 y' 4x 2xp = 2

A: Givendydx=y24x-y4x-12x,yp=2

Q: Solve the following Differential Equation: (1-(3/y)+x)(dy/dx)+y=3/x-1

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Q: Solve the following Second Order Differential Equation 9 (d^2 y/dx^2 )+ 6 (dy/dx) + 5y = 0

A: Solution:Solve the following second order diffrential equation:9d2ydx2+6dydx+5y09D2+6S+5y=0writting…

Q: 2. (1-y) y' = x2

A: The given DE is: (1-y)y'=x2...(1)

Q: Q3/ Solve the following Second order differential equations. 1- d²y dy - 3x - 12x 3 = dx dx² -

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Q: Solve the following differential equation (y-4x-1)²dx-dy=0

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Q: Solve the given differential equation by separation of variables. dy xy + 5x - y - 5 dx xy - 2x + 6y…

A: We can solve the given differential equation by using the variable separable method.

Q: x3 ydx + (3x4 — y3 )dy = 0

A: Given: x3 ydx + (3x4 — y3 )dy = 0

Q: Q1 Solve the following differential equations dy X-y+3 2x -- 2y + 5 dx 1)

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Q: Q1 Solve the following differential equations. 1. (x + 1) = x(y² + 1) dy dx

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Q: Find the general solution of the differential equation given below ylnxlnydx + dy = 0

A: We will solve it using separating the variables

Q: Q1/ Solve the following differential Equations. 1- (1+x2)dy-xy dx = 0

A: Given differential equation, 1+x2dy-xydx=0 Following formulas are used-…

Q: Solve the given differential equation: (3x+2y) dx+(2x+y) dy=0.

A: Gievn equation -  (3x+2y) dx + (2x+y) dy =0

Q: Q3: Solve the following differential equation 4(1+ y³) (x² + 2) xy?dy – dx = 0

A: To solve the following problem with the help the separation of variable method in differential…

Q: 2. y Inxlny dx + dy = 0

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Q: Find the general solution to the following differential equation: y" - 2y' + y = x² - 1

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Q: Find the solution of the following differential equation: y'' − 2y'= x − e3x

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Q: (x³ + y² √x² + y²)dx - xy√x² + y² dy=0

A: I am attaching image so that you understand each and every step.

Q: x³y³dy у?-4y-21 3. (x - x*y)dy + (y + x³y²)dx :

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Q: Find the solution of the following differential equation. 1. (x² – 1) + 2y =

A: We will find out the required solution.

Q: 4. Solve the following Second Order Differential Equation y" +y = r² +1.

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Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16…

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Q: (x² + y² + 1) dx + x (x – 2y) dy

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Q: Find the solution of the following differential equation. (x² - 1) + 2y (x + 1)² dy dx 1.

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Q: 2. Solve the given differential equation. x2 y' = y(1+x³)

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Q: Solve the following differential equation y"-4y'+4=0 y(0)=1 y'(0)=1

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Q: Solve the following differential Equations y' = y-x ; @ y(0)=3

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Q: Solve the following differential equations. ´y²-2x²' () dy = 0 2y²-x y3-x²y. (ry2_x3) dx +

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Q: Find the solution of the following Differential Equations y-x 5) y'= y+x

A: Here, the given equation is of the form y'=f(x,y)=y-xy+x...(i) Where, f(x,y)=y-xy+x which is…

Q: Find the general solution of the following differential equation:  ( y2 + 3 )dy = ( y - 2 ) lnx dx

A: We have to Find the general solution of the following differential equation:  ( y2 + 3 )dy = ( y - 2…

Q: 4. y2dx - x(2x + 3y)dy = 0

A: Solve the above differential equations.

Q: Find the solution of the following Differential Equations 2) y' =-xy

A: We have to solve the following differential equations.

Q: Q1- Find the solution of the following differential equation d²y dy +2+y = 0 dx 4x- dx²

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Q: Solve the following differential equation x² (y² +3) = 0 y(x³ +1) dy 3. + dx 4. xdx e-x + (y+1)dy =…

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Q: Find the solution of the following differential equation. 1. (2 – 1) + 2y = (x+1)² - dz

A: (1) The differential equation is given as , x2-1dydx+2y=x+12 Find the solution.

Q: Solve the following differential equations: 1.) (x-2y+4)dx + (2x-y + 2)dy = 0

A: