dy x2 = 1- x? + y? – x²y² dx

Q: Find in terms of x and y. dx2 x²y2 – 4x = 3 -2xy4 + 4xy² + 4 dy dx2 x

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Q: dy find if x²+y² = 10 dx

A: In this Question we have given a equation and then we have to find dy/dx  Using the basic difference…

Q: dy Q1: - find ay/dx for y = 5cscx3

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Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: dy +y = x³ – 3 1 — х3 — 3 dx х

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Q: dy Find for dx 2. y = x(e*) = x(e*)

A: Given: y=xex   ....(1)   As we know that; The Product rule; f·g'=f'·g+f·g' And ddxlnx=1xddxex=ex

Q: d?y dy 2- 8y = 8x? + 20x + 2, at y(0) = 0 and y(0) = -8 dx? dx

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Q: Find dy/dx, where y = (x2 - 1)4 (x2 + 1)5.

A: y=x2-14(x2+1)5

Q: dy 1 y V1- x2 1 dx V1– x2 |

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Q: dy Find dx-1 = (5; - x*)() x+1 y =

A: y=5x5-x4x+1x-1

Q: Find dy/dx if : Y =x(x/a) + √ a2 - x2

A: Given: To Find:

Q: dy Find when y = (9x + 2) (1 – V)°. dx dy dx

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Q: d/S Vx5 dx el S- dx, (x # 0) 2x

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Q: d²y dx? 3 y = 1/2 dy/dx = -1 when x = 1 | |

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Q: (2y3 – x³)dx + 3xy?dy = 0; when x = 1, y = 1 Ans. 5x²y3 = x5 + 4

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Q: 3. dy dx + x2(y 2+3) y (x3+1) =0 = 0.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: F Só So dx dy. x2+1

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Q: Find dy dx² for x =t2 + 1, y = t +t³. d²y dx² ||

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Q: d²y + y = tan x dx2

A: Solution of differential equations

Q: 8. dy dx || = 1 x+y+1

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Q: 36. dy dx y=x2/3

A: The given integral is ∫01∫x231xey4dy dx. From the above integral, the region is given by…

Q: Calculate the derivative.

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Q: dy Find for x'y' +e2x = -3e" -1. dx

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Q: (x - ky) dx +k(y-x)dy=0 where k 3t7

A: Given :(x-ky)dx+k(y-x)dy=0where k=7+3=10

Q: dy Find if dx 4. y = (x² – 3)*(3æ (За — 3)°

A: It is given that, the function y=x2-343x-36.

Q: dy Find if y = n4. dx dy dx

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Q: 44 dy 2 y² + Ce リ4x+3x-2x?+4-x'dx

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Q: dy Зx+2у dx 2х+y

A: Ans:

Q: dy = x³ – 2xy when x = 1, y = 1 dx

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Q: Find dy/dx.  Y3 + (y+2)2 - 1 - x2 = x

A: Expand the left hand side expression and isolate the variables x and y.…

Q: dy dx What is y(2)? Suppose = 6x² + 2x − 3 and y(0) = 4. - oy(2) = 14 oy(2) = 16 oy(2) = 18 oy(2) =…

A: The answer is given below:

Q: a) Find dy =dx when y=(x² – 5x +7)*

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Q: dy 2 dx x2+4

A: Given:  dydx=2x2+4 To Find: To solve the given differential equation

Q: a. y(x² + 2)dx – (x³ – x)dy = 0; when x = 3, y = 1/3 -

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Q: Solve for dy when y = <<+3x, x=2 and dx = 0.5. 2.500 0.125 2.625 2.125

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Q: Find dy dx x = 4 + ² If y=1-t² and x=

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Q: dy +y = x²y² In x dx

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Q: dy 1+y2 x2 3. dx +y²

A: Given: dydx=x21+y2 For finding solution of given differential equation, we use variable separable…

Q: y=√√√5-√x

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Q: dy Q5/ a) Find if y = esin(2x) dx

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Q: dy Find for dx 1 y=-=-72-8√x x

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Q: Find dy/dx for  a.) y=xx+3

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Q: - of x = *-Y ? x+y dy x-) Find dx

A: Given data:     The given expression is: x=(x-y)/x+y.   Rearrange the given expression.

Q: 3y dx + (2x³ + 6 In x) dy = 0 3x?y + 3.

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Q: find dx²' dyðx

A: Given function is fx,y=xcosy+yex. Compute the partial derivatives.…

Q: dy dy -Find dx when x=4t2 + t – 2 and y = 3t³ –1, find dx

A:

Q: dy Y if 2x3 +5y® = 251 Find dx

A: From the given problem:   2x3+5y6=251   Now we can write as:   fx=2x3+5y6-251   From the implicit…

Q: dy 3x + et Find for y = dx x2 – 5 Ans=

A: y=3x+exx2-5To find dydx

Q: 10. dy dx = X y²√1 + x

A:

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.