5. (4xy + 3y2 - x)dx + x(x + 2y)dy = 0

Q: y(x²-1)dx + (x³+8y-3x)dy =0  when x=0, y=1

A: Given: 3y2(x2-1)dx+(x3+8y-3x)dy=0initial condition is x=0,y=1

Q: Compute dy / dx and d2y / dx2              x 2 - 4y 2 = 8

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find general solution of: 2x ( y - x^2) dx + dy = 0

A: Topic:- solution of differential equations

Q: 2. (3x-y-4)dy -(x+y-4)dx=o

A: Given :

Q: 2 dx + ( 2x-y+3) dy = 0 ans. y + C = - In |2y-y+4|

A: See the details solution in below

Q: Find the general solution for -x) dx - (-y) dy dy = 0

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Q: 7. (2x + 3y)dx + (3x + 2)dy = 0 When: x = 3, y = 2

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Q: (1)Find the general solution for (- x) dx – (-y) dy = 0

A: Here, the given differential equation is  (2xy3-x)dx-(3x2y4-y)dy=0

Q: 2. Z dx dy dz to

A: (5) Given integral is ∫02∫04−z2∫02−zzdxdydz.…

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

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Q: (2.x+ 5y)dx + (4.x – 5y)dy =

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Q: 2. (1+Inx)dx +(1+Iny)dy = 0 when y( - 2) = - 1.

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Q: (solve exact de) (2ysinxcosx - y + 2y²e*v¨ )dx = (x - sin'x - 4xye )dy

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Q: 2- X %3D +2 3- Coshx dy +(y sinh x+e) dxo 36

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Q: 8. 5x* + -- * ) dx +2 (x³ + In x – e*) dy = 0; y (1) = 0 %3D

A: Differential equation solved by using integrating factor

Q: 17. (Vx-x)dx (1-x²) dr 18. 19 o. Sy² dy 20.

A: Given problems:-

Q: 4. (y² cos x - 3x²y – 2x) dx + (2y sin x – x³ + Iny) dy when x = 0, y = e %3D 5. (x² – 1) dy = ((1 +…

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Q: (3) Integrate using an appropriate substitution 2e- -d.xc e + 3 x-

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Q: Reducible to Exact (y3+2exy)dx+(ex+3y2)dy=0

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Q: 1. (2x – 3y) dx + (2y – 3x) dy = 0 - -

A: According to our guidelines we can answer only three subparts of a question, or first question and…

Q: 7. What is the order, degree and linearity of: (dy + 3x dx, d°x = ey dx3 8. What is the order,…

A: Note: since you posted multiple questions. As per our guidelines we are supposed to solve one…

Q: 1. (ex-y)(1-e²y)¹/² dx = dy

A:

Q: у (9х — 2у) dx - x (6x = y) dy = 0 -

A: Given:- y (9x - 2y) dx − x (6x — y) dy = 0 To find:- Solve given differential equation when x=1, y=1

Q: Find dy/dx.  X4y1/3 + e7x - y = (x3 - 11)6

A: X4y1/3 + e7x - y = (x3 - 11)6  dy/dx = ?

Q: 4. (x +y- 4) dx - ( 3x-y-4) dy = o when x=4, y=!

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Q: dy 1.3- |4 - х2 ys dx : у(1) %3D 1

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Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e

A: exact differential equation

Q: 2 1. Z =- 1+x2 ; d²z/dx?

A: z=21+x2

Q: dz Find dz -3 and of z = x³ In(1 + xy). dy

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Q: 5-(x^2-y^4)dy/dx=xy

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Q: -y cos xy - 4x) dx + (- x cos xy + 2y) dy o 1. = 0 2x+3y Zar+3y 2.

A: Proceed as shown below...

Q: (dy/dx)-(x+3y)/(2x)=0

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Q: 1. (3x + 2y + 1)dx – (3x + 2y – 1)dy = 0 -

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Q: Find the general solution of dy (y2 + 4) In x In(y2 + 4)"* %3D dx

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Q: 14. 2y dx + x(x² In y − 1) dy = 0. -

A: To find the solution of the given differential equation.

Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dy 4. if y = csch-1 2º . de 2x+2 dx . 5. J2-2x+1 x² –2x+1 dy 6. dx if y = (1+ x²)etan-1x

A: Given; 4. y = csch-12theta 5. Integration of the term (2x+2)/(x2-2x+1) 6. y = (1+x2)etan^(-1)(x)

Q: 1. Non-Exact DE (4x² – 4xy + 3y² + 2x – 3y)dx +x(2x – 2y + 1)dy = 0 -

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3 -V7 dz dy dx dy dz dx

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Q: 1- [(2x – 5)/3x – 1) dx | 2- S S(x3 – 10 + 3y² dy dx

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Q: 16 dx -5y -0 dy dy 3

A: We solve this by ordinary differential equation

Q: +xy 6. х- dx dy sin x + 2y = y(2) = 1 %3D 8. х- %3| dx 10. (3y + 2xy) dx – (2xy +x²) dy = C - dy 1…

A: We have to solve given initial value problem:

Q: 7 5-y y dx dy 3y

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Q: /25-x2 V25-x2 -y2 1 dz dy dx -/25–x² -V25-x² -y²

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Q: I sin 2 dy dx (x² – y) dy dx 5. 6. x? – y² dy dx 8. L ellyt dx dy 7.

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Q: 26. = 2xy² + 3x²y², y(1) = -1 dx dy 27 -7

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Q: 2. (2x + 3y + 1)dx – (4x + 6y – 1)dy = 0 -

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Q: (1-xy)^(-2) dx + [y^2 +x^2(1-xy)^-2]dy=0; when x=4, y=1

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Q: 4- Find dy/dx for y = 3(sin-(e-3x²))2 dy 3[(sin-{(e-3*)i* In3 2(sin-1(e-3**) - 3x2 1(-6x) dx V1-…

A: Differentiate term by term