dy y sin2x Q:Solve: dx x logx log x

Q: 2 dy + (1 + log y) dx d?y (1– log y ) dx2

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Q: Solve (hx + by + f )dy + (ax + hy + g)dx = 0.

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Q: dy 2y Solve dx X X 1-

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Q: 1. Solve (x + 1) dx – (cosy) dy = 0. |

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Q: Solve the following : dy _ 4x+6y+5 (i) dx 2x+3y+4 dy dx (ü) x- +y = y² log :

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Q: dy Solve : x +y=Dy' log x. dx

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Q: Solve :(x+1) dy xy = e* (x+1)"+1 dr

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Q: x+y =(x+y-1)+. dx log (x+y)

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Q: Q1) Find for : dx 1) y = log3(3x3 + x²)² × In(sec-1 vVx) 2 – (x² + y)² + (x – y²)² = x³ + y³

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Q: (b) Solve : d²y - 3.x+5y= sin(log x) dx dy dx हल कीजिए dy 2dy- 3x+ dx Sy sin(log x) dx

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Q: f(x) = log,/½(Vx – 1 + v3 – x) -

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Q: dy y sin2x Q: Solve : dx x logx log x

A: Given  yxlog(x)=sin(2x)log(x)

Q: 2. J T(x+1)((tan-1x)+9) 4. Zin10 log10 dx

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Q: d'y dx dy Solve x x- dx +4y cos(log x) +x sin(log x)

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Q: d'y dy +9y = 6e* +7e* – log 2 6- 3x -2x dx? dx

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Q: dy Find dx if y = x (log2(x* – 4x))° dy dx ||

A: Topic = Derivative

Q: Differentiate sinx (i) y = log((1 + vx)x²) (ii) y = Vcosx

A: Differentiation of a function at a point is equal to the rate of the change of the value of the…

Q: dy Find if y = log5u, where u = cos5x %3D dx dy = - 5tan5x dx dy = 5tan5x dx dy = -tan5x dx None

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Q: 4) Solve (xe + ye" )dx+(xe" +e' )dy = 0

A: The differential equation is xe-y+ye-ydx+xe-y+eydy=0 Write it as: e-yx+ydx+x+e2ydy=0x+ydx+x+e2ydy=0…

Q: Find if xe + x² = ln y. dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solver: y(ln(x))dx+(1+2y)dy=0

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Q: dy._ y dx xlogx logx sin2x

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Q: Solve dx+ dy 0

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Q: Find dx 1. y = log10 Vx 2. y = x*

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Q: d 55. Vcosh x +1 (cosh x + 1)-/2 sinh x dx

A: Given The function is f(x)=cosh x +1 .

Q: Solve: y(4xy + 1)dx + x(1+4xy – x³y³)dy = 0;

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Q: Solve  (x+1)(dy/dx) +y = ln(x) y(1)=0

A: We will solve the differential equation.

Q: find dy y = ln (1 + x2)

A: The given function is y=ln1+x2. Obtain the differential as follows.

Q: - x(x²+1) dx Vx2+1 to

A: 1)   I = ∫xx2+1x2+1dxI = ?

Q: dy/dx if y = ln x/x2

A: Given y=lnxx2

Q: solve 2 x d zy dx=

A: Given: The second order differential equation is x2d2ydx2+4xdydx+2+xy=0

Q: dy Solve (1+ x)-xy =(1+x)* e*. dx

A: See the detailed solution below.

Q: Find dy dx 5. = sec ¹(log 7x) y =

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Q: Solve Y for csc(3Y) + e2%cot(y²) = log2/xy dx

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Q: dy (i) Solve (x²D² + 4xD + 2)y = logx, given that x = 1, y = 0 and = 0. dx

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Q: du if u = x log xy where x³ + y° +3xy = l find dx %3D

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Q: dy Q1) Find for: dx 1) y = log3(3x3 +x?)² x In(sec-1 Vx) 2- (x2 + y)? + (x – y²)² = x³ + y3

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Q: dy Q2) Solve x – 2y = x³ cosec 2x dx

A: The above equation is a first order differential equation know as Leibin'z linear equation. The…

Q: dy Find dx 5 if y = x(log2(a - 7x)) dy dx ||

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Q: dy Find Y dx (x- 2) - (2x+1)4 if y= | Use logarithmic differentiation. x=0 e2x. Vx+8

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Q: Solve dx/dt+3x=e^-2t given that x=4 when t=0

A: dxdt+3x=e-2t Comparing with dxdt+Px=Q, we get P=3  &  Q=e-2t Now integrating factor is, I.F=e∫P…

Q: xy Solve e"Ci+ xy)dx + (x'e+1) dy =

A: Given that, exy1+xydx+x2exy+1dy=0, y1=0 Here , M=exy1+xy N=x2exy+1 ∂M∂y=xexy(2+xy) ∂N∂x=xexy(2+xy)…

Q: - x dx – 2 x 1 + e 2)

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Q: Solve | 1+e' dx + e'|1- |dy = 0 y,

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Q: 1. Solve (x + 1) dx – (cosy) dy = 0.

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Q: Find dy/dx for ln(xy) + e2y - 5x = 30

A: Given: lnxy+e2y-5x=30

Q: x sin x dx = log y dy %3D

A: Let's find.

Q: dy Find dx if y = « (log2(x* – 4x)) - dy dx

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