a. Solve the following differential equation 16(x+1)* + 96(x+1)+104(x+1)° +8(x+1) + y = x² +4x+3. dx dx dx dx

Q: 1. Solve the following Exact Differential Equation : dy 2xe" – y+ 6x² dx

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Q: i need the answer quickly

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Q: Solve the following differential equation. (1-x²)dy -2xydx = 2 (x-x* )dx

A: The objective is to solve the differential equation.

Q: Solve the following differential equations 3x y"-6y' +9y=e³x cos √√x+1

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Q: Solve the following differential equations: x-e-x %3D y+ey dy dx

A: Given- dydx=x-e-xy+ey To Find- The value of the above differential equations.

Q: 2. Solve the following differential equation. (6xy + 2y² – 5) + (3x² + 4xy – 6) dy dx = 0 (2)

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

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Q: Solve the following differential equation (25x+3y)dx+(9y-3x)dy=D0

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Q: (x5 — y2 )dx + 2xy dy = 0

A: Given: (x5 — y2 )dx + 2xy dy = 0

Q: 7x*dy/dx=2xe^(x)−7y+6x^(2)

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Q: y'-y =x'y² %3D

A: The differential equation is y'-1x2y=x3y2. It is in the form of a Bernoulli ordinary differential…

Q: 1. Solve the following differential equation. a) y/1- y² dx + (x/1- y² + y) dy = 0 . |

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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: Solve the following differential equations of (3x'y+ 2xy + y' )dx +(x' +y°)dy =0

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Q: (10-6y+e-3) dx - 2dy 2dy = 0

A: Given.

Q: Solve the following differential equation: (x2 − y2) dx + 2 xy dy = 0.

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Q: Solve the following Differential Equation. dy 4x + 2y - 3 dx 2x + 2y – 3

A: Given DE isdydx=4x+2y-32x+2y-3 it can be written as 2x+2y-3dy=(4x+2y-3)dx i.e.…

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

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Q: Find the particular solution of the following differential equation:  2xy dx = ( x2 - 2y3 ) dy ; y…

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

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Q: x3 ydx + (3x4 — y3 )dy = 0

A: Given: x3 ydx + (3x4 — y3 )dy = 0

Q: (3x²y+ 4xy² + 6}ktx+ (x° + 6x*y° -1]dy=0

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Q: 2x° -1 dy dx 3-2y

A: Given, dydx=2x3-13-2y We have to solve the differential equation by separating the variables.

Q: 1.Solve one of the following differential equation a- dy + ycotxdx – 5ecosx dx = 0

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Q: (2xy+1)dx +xy'dy - O

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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: %3D (2xy + y)dx + (x² + 2xy – y)dy = 0

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Q: 4) (x – y)(4x + y) dx + x(5x – y) dy = 0 -

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Q: 4. Solve the following differential equation: (x² – y") dx + 2 xy dy = 0.

A: We can solve this Differential Equation using Substitution method: Given :…

Q: 1. Solve the given differential equation (2.xy* e" + 2xy³ + y )dx + (x²y*e" – x²y² - 3x )dy= 0

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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: Solve the following differential equations of (2x* +y)dx+(x'y-x)dy = 0

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Q: D. Find the general solutions to the following differential equations. 2. x"+2x'+x=4e-t

A: We have to find the general solution of the differential equation.

Q: Find the general solution of the following differential equation:  ( x + 2y - 1 ) dx - ( x + 2y - 5…

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Q: solve the following differential equation.. (l-x? )dy -ayydx = 2(x²- x² )dx

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Q: Solve the following differential equation d²y dy + x- +x²y = 0 dx2 dx

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Q: Q1: Find the solution of the following Differential Equations 2. dx + 3y = e* + 2 3. dx2 x = 0 dx

A: We will find the Differential equation solution

Q: Solve the following differential equation: (3y-7x+7)dx+ (7y-3x+3)dy=D0

A: Given : The differential equation 3y - 7x + 7 dx + 7y - 3x  + 3 dy = 0   To solve the given…

Q: 2. (a) Solve the following differential equation using the undetermined coefficient method: dy 2y =…

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Q: Solve the following differential equation y"x+ 3xy' - 3y = 0

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Q: Solve the following differential equation (25x+3y)dx+(9y-3x)dy=0

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Q: Solve the following differential equations of -2y– 3 = y* .e"; dx 3dy - y* .e";

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Q: 1. Solve the following differential equations d²y_dy dx² dx — - +2y=x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 4. Solve the following First Order Differential Equation: dy + 4y = x³ – - x dx

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Q: Solve the following differential equations: a- (2x + 3y -2) dx + (3x -4 y +1) dy=0 b- (x²+3y²)…

A: The given differential equations are;  1) (2x+3y-2)dx+(3x-4y+1)dy=0 2) (x2+3y2)dx-2xydy=0.

Q: Find the particular solution of the following differential equation ( xy2 - x ) dx - ( 2x2y - 3y )…

A: The given differential equation,        xy2-xdx-2x2y-3ydy=0 ;   y(1)=2

Q: Solve the differential equation as follows: 8x(x² + 3xy + y-1)dx + (28x³ + 5x*y¬'+ 6x²y=² + 6y¯z)dy…

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Q: Solve the following differential equation: 4y2 + 10xy – 4y + 8)dx + (2x2 + 2xy-x)dy 0

A: 4y2+10xy-4y+8dx+2x2+2xy-xdy=0           1 Comparing it with standard differential equation Mdx+Ndy=0…

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

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.