d²y dy dy %3D 1 2. dx2 6y = 0, when x - 0, y = 2, - %3D dx dx

Q: 3. (x + y − 1)dx + (y-x-5)dy=0igant bas ins

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Q: d'y |d'y -6[y"]° = 2xy 1а. 2 -5 dx d'y + 2y' –1=0 1b. 3 dx? dʻy - 3 d°y 1с. 4 = 0 .6 dx dx°

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Q: dy 3. + + 2y + y² = 0,yı = -2 dx

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Q: d*y dx + 2- dx d'y d²y dx 0.

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Q: dy Find for y %3D —8x csc-"(-6х) dx dy dx

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Q: dy dx -3х а) +3y= 2xe3* b) t- +3x = 2t°, x(2) =1 dx dt

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Q: Dx+Dy= ムxy43t Dx-Dy =-2x+2y %3D

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Q: dy y- dx2 dy dy = 7(y+1) dx? dx

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Q: dy Find dx y = -9 dy %3D dx

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Q: dy 글-(1 + x)y = xy2 dx

A: We have to solve given problem:

Q: dy_ y² + xy² 8- dx x'y-x

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Q: d²y dy + y = 2sin( dx dx2 the mothod of 1undotorminod cooffGcion

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Q: = y - dy 3. 25 @ y (0)=1, y (0) =2 dx2 dx

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Q: (x+ x+)dx + By xdy 2. (3x-y-4)dy - (x+y-4) dx a0 1. when XE4, Y=

A: Topic:- differential equations  Note:- as per our guideline if more than one question uploaded than…

Q: 1 1 d y dy 2 3 X - х —- %D dx dx

A: Topic = Differential equation

Q: 3x dy 2y when x = 1, y = -1 dx 2y

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Q: Dy/dx +(4xy^4)=0 X dy/dx-y=2x^2,y(1)=1

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Q: y(3x-2)dx +x (1-2 y)dy=D

A: We will solve the problem

Q: dy - Solve + 3y + 2. y dx = x, given y (0) = 1. %3D dx

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Q: y=2 x=1+y e) | (2y +5x) dx dy answer: 31 y=0 X=0 1 2x (2ху - 1) dy dx answer: -1 x2 23

A: e) ∫y=0y=2∫x=0x=1+y2y+5x dx dyf) ∫-11∫x22x2xy-1 dy dx

Q: y=(2x^2+5cos(x))^7 Find dy/dx dy/dx=

A: The objective of the question derivative the given y.

Q: dy dy dx +3. + 2y = 0, subject to y(0) = 2 and y'(0) = –6 dx2

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Q: d?y +5xy = 0 dx +(sin x) 2 dy +2 dx dr3 = 1 dx2 O Option 1 O Option 2 d²y +3y dy dy dx? +y = 5x dy…

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Q: +y Evaluate dz dy dx 20 3 0 -3 0 00 -10 -4 0 10 -2 0

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Q: 3. x dy +y dx =xg'dx

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Q: d²y d'y (k) 을-42+13y =0 (1) "+2+y = 0 dx dx? dx dx? d? (m) dx (n) 9 +16y=0 d'y dx?

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Q: Consider y=(3x^(2) +4)^(-5x)  Please find dy/dx and evaluate y'(0)

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Q: 3x + 2y dy 30. dx y(-1) = -1 3x + 2y + 2

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Q: dy -xy y(0) = 2. dx 1+ x² '

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Q: 5/xy dy -2, х, у» 0 dx y =

A: See the details solution in below

Q: d?y dy 3- 4y = 0 dx? dx

A: Solution of a differential equation

Q: 12 x*y dx dy 12 I*y dx dy i

A: topic - double integration

Q: du' dx dx (a) y- u and u = x² + 4 dy du du dx dy dx (b) y = u* and u = 9x² – x + 8 dy du dx dy

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Q: dy 1 a) dx dy y=3+e dx 4

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: s separation possible? a.dy/dx=(10+x)/x b.dy/dx=7x/(5x+3y) c.3xdy/dx=5/(7y)

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Q: d²x = y² + 1 а. y dy2 y (* + - ** + 1 dx, 2 d²x x² + 1 dy² d's d²s С. dy3 dx? () = x² + 1 dp. d. y…

A: An ordinary differential equation is an equation involving only one independent variable

Q: х+3у dy= dx 3x+ y

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Q: %3D 4x3 dx 2. х3dy + 3x?y dx 3. х3 dy + (3x?у — хе*) dx %3D 0 -

A: These are the first order and first degree DE. Solutions are given below:

Q: 1 -dy dx = 0 dy 2.xy- + y? – 2x = 0 | d.x

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Q: 1. ху' %3D у + уx? — у? d²y 2. х- dx² = 2-a dy dx 3. Зуу'у" — у'3 +1%3D0

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Q: (e + 1)'e-Y dx + (e* + 1)°e* dy = 0 ху + 3х — у — 3 dx ху — 2х + 4у — 8 dy

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Q: d²y dy + 4y = 0, y(0) = 3, dy (0) = 1 dx dx² dx

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Q: dy 3) (x+ 1)(y- 1) dx

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: dy dx 1. dy 2- dx=2xseey 3-(1-x) 2y

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Q: dx (1) dy (2x+y-1)

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: dy 5 - 5y =-ラ*y xy³ dx

A: The given equation is a Bernoulli's equation which is a special type of first order non-linear…

Q: 5x Find dy for y = -5 sec 8 dy =dx %3D

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