Given x 12 sint + 30 and y= 12 cost +34 || %3D dx (i) dt dy (ii) dt

Q: dy x +1 xy %3D dx

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Q: If x= sint and y = cost then 2 dx dy dt dt O 2 O -1 O 1 O O O None of these

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Q: 2. Obtain the general solution to the equation dy dx x sin x y cos y

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Q: 15. Solve d²y +3 y + 2y = 3 sin x, given that when x 0, y =-0-9 Wor, OFer dx? dx dy =-0-7. dx and…

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Q: Solve: sin(y) dy/dx = e

A: given question is solved using variable separable method of differential equation    final answer is…

Q: 2) dy x+3y dx 2x

A: We will solve the problem

Q: dy соmpute dx for implicitly given function cos(xy) + 2y = x³

A: cos(xy)+2y=x3Differentiate with respect to x,-(sin(xy))y+xddx(y)+2ddxy=3x2

Q: y = x * (sin 1x)² – 2x + 2v1-x² * (sin-1x), Find dy dx

A: Given that equation of y and we find dy/dx. We know that d(sin-1x)/dx = 1/√1-x2. And d(xn)/dx =…

Q: (1) хdy — ydx — Vx? + у? dx (2) — Зу? — у? sin x dx (3) (x2 + 1)4 — у2 + 1 dy dx

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Q: dy if y = sin-1 dx 6. Find dy %3D dx

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Q: SOLVE THE FIRST ORDER DE. dy – yln(yecosx)dx = y sinx dx

A: dy-yln(yecosx)dx=ysinxdx

Q: If y = f(x) is the solution of (-x – 9)dx + (x2 + 10x + 41)dy = 0, f(0) = }In(41) +arctan(5/4), then

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Q: 3. Determine the Particular solution of this equation In terms ofY (xy2)dx + e*dy 0, as x → 0, y ==

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Q: dy b) Find If tan2²(2y) – S cost dt = 4 – x2 - dx

A: We find the dy/dx by Leibniz rule.

Q: y_x + y х х — 1 dx

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Q: Find dy/dx at the given point for the equation. x= 4 In(y2 - 3), (0, 2) dy/dx =

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Q: (2х — Зу)dx + (2у — Зx)dy %3D 0

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Q: Given x = 2 cos t + 8 and y= 4 sint dx (i) dt dy (ii) dt dy (iii) dx ||

A: Givenx=2cost+8y=4sin2t

Q: Solve the inital value problem from the differentail equation: dy/dx = 1+ y       where y(0) = 1

A: Given: Initial value problem. dy/dx = 1+ y       where y(0) = 1

Q: Solve d'y 6 dy +13y38e*sin2x -6- dx? dx

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Q: (b) x²e3 dx (d) arctan 4t dt

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Q: dy dx if e*y = sin-1y+ x²y + Find

A: Given exy2=sin-1y+xy2+yπ

Q: d) y = 5 ln 3 ; x=2 cost sin t e) y=r° cos (2e') ; x= 3-1

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Q: What is the solution of the equation dey/dx=y/x+tany/x

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Q: when

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Q: Find dy. Y= sin (5x^2) dy= ? dx

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Q: If y = √ 1+x3, calculate dy/dx. What is dy/dx x=2

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Q: Find the general solution of: dx+(1+x^2)cotydy=0

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Q: dy Find dx 6x %3D e sin (x + 2y)

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Q: dy Find dt 4 y (1+ sin 7t)

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Q: Find the general solution of (x +1)3d²y dx? 1TE + 3(x + 1)² + (x+ 1)y = 6 ln(x +1). dy dx

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Q: Solve the equation xcosy dy+(x+2)siny dx=0.

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Q: 3 2 Find for y = dt, where x> 9t+2 dx dx

A: The given function is y=∫0x39t+2dt. Let u=9t+2. Then, du=9 dt. The upper limit will be 9x+2 and the…

Q: 1. If y = sin x² x =²), ex find dy dx

A: Given y=sinx2-xex To find dydx

Q: Find dy/dx at the given point without first solving for y. xy2 = 343 at (7, 7) dy %3D dx

A: Given query is to find the derivative of the expression.

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: dy Solve the initial – value problem: = y² given that f(0) = -1 dx %3D

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Q: Solve dy dy + y = 2sin(3x) - dx? dx using the method of undetermined coefficient.

A: We solve the given differential equation by method of undetermined coefficients.

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

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Q: ædy – y(1+ In y – In æ)dx = 0

A: The given differential equation  is changed to  the variable separable form by using the…

Q: Solve the initial value problem. dy ху?- сosrsinx а. у (0) %3D 2 dx (1- x?)

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Q: (B.) L ( ³x ++ -cost} { +4- dt 3 dx dt Where: x(0) = x '(o)=6 and x" (0) = 2

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Q: 30. cos(r + y?) dx dy 32. x²+ y² dx dy 2 y

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Q: d*y 2) Obtain a particular solution for d²y dy + dx + y = x3 + 2x +1 dx4 dx?

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Q: So Sty dx dy √y(1+x²) The value of integration is very high

A: Given ∫01∫y1dxdyy(1+x2)

Q: dy Find dt y = tan ( sin (4t - 3))

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Q: (). dy 11 if y = sin-1 d.x Find dy = dx

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Q: Find the general solution of : x tan²y dx + (1+ Vx ) dy = 0

A: To find the general solution of : x tan2y dx+1+xdy=0

Q: Find dy/dx at the given point without first solving for y x2 + 3xy + 11 = 0 at (1, –4) %3D dx II

A: Given: The curve is x2+3xy+11=0 and the point is  1,-4. The objective is to find dydx at the given…