9. If x2-xy + y2 = 3, find y' and y", %3D

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

A:

Q: 11). If dy = (2x – 3) dx and y = 2 when x = 3, find the value of y when x = 5.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: 16 (1.) 2XInX 2 dy/dx (2. if 4 = cosh 2 JX +1 %3D 213 dx (3.) 4+x2

A: Question 1 is solved by substitution method. Solving other questions are against the policy of…

Q: 5. 6. Sexcos2x dx |— S- dx 3 (x + 2)² − (x+2) ² -

A:

Q: 3. II Azy'dz dy = 2y°(3² – 1)dy | 2y (y? – 1)dy 1

A: Given that a double integration .We use general  property of integration to solve this integration.…

Q: Find integrating factor of the equation (x4+y4)dx-xy3dy=0

A: The given equation can be rewritten as   xy3dydx=x4+y4    ∴y3dydx-y4x=x3     Let y4=t…

Q: d- . -x e-(x² +y²) dy dx -(x²+y²) dy dx

A: We can answer one question as per the honor policy. Please resubmit other question as well to know…

Q: 16 4+x² dy when y = Find 4 – x² dx dy dx

A:

Q: 2). 3rin y l dy dx [ 5 X In Xナ3

A:

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

A: See the details solution in below

Q: 1. Find the rate of y with respect to x at the point (5, 8) if 7y-ry 4. dy da

A:

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

A:

Q: Example 3: Estimate S, x² dx with n=4 by Midpoint Method. Solution:

A: Here first we will divide the integral range into 4 equal parts and then we will calculate the…

Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

A:

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

A:

Q: 2x+2 dx. 5. x2-2x+1 dy 6. 5. if y = (1+ x²)etan-1x

A:

Q: -2x y" + (e by = 0 (e-* = z) -

A:

Q: Solve for y at x=2: (x5 + 3y) dx - x dy=0; x=1, y=2

A: Rewrite the differential equation in standard form and solve it

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

A: Differential equation solved by using integrating factor

Q: 8. ylnx – x In y = c - 9. y = ln (coth x) 10. y = sec³Vx

A:

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: X = e not inelude th degreo QUmbelin

A: The triangle is shown in diagram ,

Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

A:

Q: 4. If a point is moving along y = 3x2- 4x – 6 at a rate of = 4 m/s, find dt when x = 3.

A:

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

A:

Q: IPydx dy 20.

A: To evaluate: ∫02∫13 x3y dxdy

Q: dy If y = 10**-1, solve for dx dy = 2x(ln 10)10*²-1 dy = (In 10)10*²-1 dx dx Option 4 Option 1 dy =…

A:

Q: (x + 1)2 + y = Inx; y(1) = 4 dx Oyx + 1) = xlnx – x + 9 Oyx + 1) = xlnx – x + 8 Oyx + 1) = xlnx – x…

A:

Q: dy 3. y = [(x + 1)(x – 1)]³, dx dy 4. y = (t + 4)(t – 2)(t – 1), dt 12/07/2021 15:

A:

Q: 4- S" e-x* dx 5- Vy e-y² dy

A:

Q: 9. If dy = xy² and if y = 1 when x = 0, then when y = 3, x is equal to dx 0 -0 DIE

A:

Q: 17 (7+ x²^ dy when y = dx Find %3| 7 – x²

A:

Q: 5. The integrating factor of the di equation 2y dx + (x- x^3 y^3) O x*3 y^2 O Does not exist

A:

Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

A:

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: (х — 4у — 3)dx — (х — бу —5)dy — 0 -

A:

Q: 5) Inx Iny mz dx dy dz

A: Given: Let I=∫1e∫1e∫1eln x ln y ln z dxdydz To Find: To evaluate the given integration

Q: dx 2х — 7у dt dy 5х + 10у + 4z dt dz 5у + 2z dt

A:

Q: If Va + Vy = 6 and y(25) = 1, find y' (25) by implicit differentiation. %3D %3D

A:

Q: Solve for y + In lyl at x=6: y'=(yx^2-y)/(y+1); y(3) = -1 4.5

A: The given differential equation is y' = y x2 - yy +1  with initial condition y ( 3 ) = -1. To solve…

Q: ion dy 3t2 dt 2y + 2t3y' tion: ||

A:

Q: 5 2 S- 10 Vx+y dy dx 5 2 y dy dx = (28 - 10/3) 10 VX+y 3.

A: given itegralI=∫15∫02yx+y2dydx

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

A:

Q: Sulve the dffeanlial equalion ly). clox Ylx)=16

A: Given:     dydx+y=16

Q: 9-y dy 5. S y

A: We will use trigonometric substitution.

Q: 1) (2cos³xsin x – ysin x – 1)dx – cos x dy = 0 ; when y ) = 3v2

A:

Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

A:

Q: (b) Integrate x-³e-l/a², dx

A: Here we can find the answer as below.