Q2 Find (d y/d x)& (dy/dx²) y ex cosxy = y

Q: (3y + 2x) dx –x² dy = 0, given that x = 1, when y = 2

A:

Q: dy 1. Find dx if y = v1 + sin²x

A: Given, y=1+sin2x we have to find the derivative.

Q: 5 (x² + y² )dx dy -5 J –1

A:

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

A:

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: x² S cos(VE) dt dx 'x

A: Given ddx∫xx2costdt

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: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

A:

Q: Let y = 4x2 + 4x + 3. Find the differential dy when x = 1 and dx 0.4 %3D Find the differential dy…

A:

Q: 6x – 2x +1 dy cos y + e4y 2. (3xy² – 9xy – 30x) dx + (x² +9) dy = 0 1. dx

A:

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

A: Solve

Q: π Q3/ Evaluate Sosyx siny dx dy 0 0

A: Consider the given integral, I=∫0π∫0cosyxsinydxdy perform the integration,…

Q: find dy/dx. y = -10x + 3 cos x

A:

Q: Find the particular solution for (2y3 – x³) dx + 3xy² dy = 0 when x = 1, y = 1

A:

Q: dy (=)y = x* sin x. dx

A: Linear differential equation

Q: b. sin 2xdy – 2(y - cosx)dx = 0; when x = 1/4, y = 0

A:

Q: Find the general solution for (y + 1) dx + (4x – y) dy = 0

A:

Q: find dy/dt. y = sin (cos (2t - 5))

A:

Q: 2. a“y dx2 dy + 42+ 3y = sin(x) + 2 cos(x) dx

A:

Q: Find dy by +xy-X=0 dy=( )dx

A:

Q: Q2 Find (d y/d x)& (dy/dx') ex = 1/ cos xy

A:

Q: dy 9. Find . dx (a) x³y² + 2e* – sin y = 28 .3,,2 - ( 8 x-1 (b) y = In \2x+4,

A: Given that  (a) x3y2 +2ex - siny = 28 (b) y = ln {(x-1)/(2x+4)}8 Here we have to find dy/dx.

Q: y = x2/3 dx 9.

A:

Q: dy 4) Find dx when y² – x² + cos(x + y) = 0

A: As we know that the derivative of : ddx(xn)=nxn-1 ddx(cos(x))=-sin(x) ddx(f(g(x)))=f'(g(x))g'(x)

Q: dy 4 sin 2x, y = 2, when x = 1/2 dx

A:

Q: Solve the D.E [y(++csy)]dx + [x+Inx-xSiny] dy-o

A: Solve de

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

A: See the attachment

Q: Q2 Find (d y/d x)& (dy/dx²) ex = 1/ cosxy

A: Given: eyx=1cos xy ⇒eyx(cos xy)=1 ----(1) Differentiate equation (1) w.r.t "x" ddxeyx(cos xy)=ddx(1)…

Q: d² dy +5 dy + 5y = e-t sint, where y(0) = 0 and y' (0) = 1.

A: Given: The equation is d2ydt2+5dydt+5y=e-tsint. The given initial condition is y0=0 and y'0=1. To…

Q: dy dzy If y = e2x –2e¬3x, Find at x = 1 dx 'dx2'

A:

Q: 2. f" S"(sinx + cosy) dx dy

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

Q: Find xer2 dy if dx = y sin x 1-

A:

Q: find dy/dt. y = sin2 (πt - 2)

A:

Q: dx/dy + sin'3 y/ cos'2 2x = 0

A: We are given : dxdy+sin3ycos22x=0⇒dxdy=-sin3ycos22x⇒cos22x dx=-sin3y dy Integrating both sides, we…

Q: dy/dx 5 - y = In(x – Vx²+ 1)

A:

Q: dy 4. Find at (- 2,0), if 3x² +2x²y² +sin y=12+2y. dx

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

A: Given differential equation is  dydx=x3+y3+x2yxy2+x3 the given differential equation is homogenous .

Q: dy dv 2 Find for y = = [ √3 +4 dt. 0

A:

Q: Chose only two: dy 1. Find for y + In x2 y2 -cos 2x* = 27 dx 2x+1 2. Evaluate: f dx -4

A: We use chain rule and product rule while differentiating the given equation.  Also for integration,…

Q: Q3: Find if: dx 2x dt sinx dt (1) y = (2) y = [ %3D t- 2 X cosx

A:

Q: 4. § xe¯ dx 6. |t sin 2t dt Jx² cos mx dx 8.

A:

Q: 3. a) If y = 6x - 5x +7x +2x – x+10, find dy at (2,3) i. dx d'y il. -at (1,-5)

A: See the attachment

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: d y Find dx 9x +9y 7 sin (y) 口 dy dx

A:

Q: dy い+ with dx y(-2) = 2 ニ - y x

A:

Q: f- dx dt - 4x=2e²¹ + e*; where x(0)=0

A:

Q: Find dy by dx Y= 1-x² ÷2-x

A: Given that: y=1-x2÷2-x

Q: Find dy/dx by differentiating xe²y + 7 = 4y² – 5ª implicitly.

A: Given: xe2y+7=4y2-5xDifferentiate both side with respect to x

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

A:

Q: Find dy/dx Find dy/dx y =x² sin°(2x²) x*y? = 1

A: To differentiate y=x2sin2(2x2), with respect to x, use the product rule,…