dx 0. HEMATICE (x² + 9) ž M/2

Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

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Q: 5 (x² + y² )dx dy -5 J –1

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Q: . (solve exact de) (2ysinxcosx - y + 2y?e*v* )dx = (x - sin?x - 4xye*)dy

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Q: dy Find the General and Particular solution of dx 3y; y=3, when x=0

A: The differential equation is given as dydx = 3ydyy = 3dx∫dyy = 3∫dxlny = 3x+lnAlny-lnA = 3xlnyA =…

Q: G3- y²sinx+3e3*)dx+(3xy² +2ycosx+)dy=0 |

A: In this question, we have a differential equation of the form Mdx+Ndy=0 Here we have to check the…

Q: dy In(3x + 5) Find for y = - dx 8e3x dy %3D da

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Q: dx 5) 글 (cosy)x3 %3D dy 2y

A: The solution follows :

Q: 18 dx Integrate using trig. Substitution: S- x² V9– x²

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Q: dy = 2 + Vy – 2x+ 3 (reduction to separati dx

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Q: dy| 2х — 6 - Find- , where y = dx\x=1 x + 2 Enter the exact answer. dy dx=1

A: Solve

Q: 18. S V1+x dx 1-х

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Q: 1 dy / Solve y dx 1 3 3+x2 V4-x2 ||

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Q: Z4 e: 2₁₁ (4x²yz - ) dz dy dx 1 4

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Q: -3 dx dy 0, y2

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Q: x³ ex? dy y In y 2. dx ||

A: Given:                dydx=x3ex2y ln y Simplify:              y ln y dy=x3ex2 dx Integrate both…

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: dy Find for 3(x2 + y²) ² = 100xy dx

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Q: (ii) o S(2xy + z)dx dy dz z=-1 :0 Jx=1

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

A: Given problems:-

Q: 6. General solution is y = x² In x + Ca² , EXERCISE 6. dy 2y = x? dx

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Q: QA1 (a) Given that y = (3+4x²)° +10sin(5x) determine dx dy

A: The solution is given below  Please post separately

Q: dx 2. S; x²-4x+5

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Q: ³₂²₁²[z³(x + y)³] dz dy dx

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Q: 5. Find the particular solution (IVP) for the DE below: a) dx +2 =8x when x = 2, y = 6 b) 3y2 = 2x +…

A: Use variable separable method

Q: O Calculate ........... 2 4-y2 dy dx O I-X ® yde dy

A: Here we will find the solution of question 4. a)∫01∫1-x1-x2dydx Solution: Here the independent…

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

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Q: (x³ + y² + z) dx dy dz. 2 Evaluate

A: To evaluate the integral

Q: 2. S dx exte-x 3. fx sec² x dx 4. esinx cos x dx

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Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

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Q: •1 fl-x r4-x²-y 16. x dz dy dx 0 Jo 3

A: See the attachment

Q: Evaluate the integrals

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Q: 1-y² V1-y? I-2(1- x) dy dx

A: We will divide and integral the given function

Q: J2-x² (X +2y) dy dX

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Q: y2 - cos(x²) + + 3x³ = 4x-3 dy 8. x – %3D dx

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Q: dy/dx 5 - y = In(x – Vx²+ 1)

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Q: 2x-1 11. y = 5x+2 12. y=(5x² + 2x + 1 )3 13. y = V2x + 6 /14. y = 15. x = 2x + 3, what is dy/dx? =…

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Q: Q3) (cos y – 2xy + dx – (x² + xsin y)dy = 0 x²+

A: Simplify the equations by grouping like terms and using the product rule of differentiation. Look…

Q: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

A: Note : as per our guidelines we are supposed to answer only one question if there are multiple…

Q: Solve dx = y dz dy = -x dz for X=0-5 X (0) = 0 Y(0) = 1

A: Given that dxdt=y, x(0)=0dydt=-x, y0=1 Differentiating first equation, we get…

Q: (メ2メ+Sx )dx h- Cos3x dk 120 x3-XSinx+ CusX dx C. 130 x41 (2メーリdy

A: As per our policy, I can only provide you solution for first three parts, but part (c) is not clear…

Q: 4xy dx + 2x²° dy + loy - dx + 15 x y dy=0 t

A: given equation 4x2y dx+2x3dy+10y-dx+15xy dy=0 claim- Find non- exact or first order linear DE

Q: dy Q4 Find dx 1- y = 2Vx. tanhx %D 2 - y = (4x2 – 1)csch(In2x) %3D

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

Q: (9x² + y – 1) dx – (4y – x) dy = 0, y(1) = 0 - ben valor nuulo

A: Ffddhfjc

Q: dy い+ with dx y(-2) = 2 ニ - y x

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Q: Solve the differential equation listed below:

A: Separate the variables.

Q: Find dy by dx Y= 1-x² ÷2-x

A: Given that: y=1-x2÷2-x

Q: Q3) Evaluate triple integral dz dx dy.

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Q: Q2. Find of y = 4x/x + V at x = 1? dx

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Q: 9) (x- y°-Ay-1) dx t 2x (x4 y +2)dy =o

A: As we know that the differential equation Mdx+Ndy=0 is exact, If ∂M∂y=∂N∂x. The solution is:…