solve y′ = x^2 y

Q: Integrate: ∫ (3x^2+x−8)/(x^3+4x) dx

A:

Q: solve for y. ln ( y - 1) = x + ln y

A: ln ( y - 1) = x + ln y We need to solve the equation for y.

Q: Find ∫ x(2x + 5)-1 dx.

A: To find the given integral.

Q: Differentiate  y = x ln x

A:

Q: Find ∫√(2x − 1) dx.

A: Given:

Q: Differentiate: y = x(ln x)² – 2x ln x + 2x

A: y=x(lnx)2-2x·lnx+2xy'=ddx(x)(lnx)2+xddx(lnx)2-ddx(2x)·lnx+2x·ddx(lnx)+2 , [product…

Q: integrate 4x-5/(2x-3)^2 dx

A: see 2nd step....

Q: Differentiate   y = ln x ln 2x

A: To differentiate: The equation y=ln x·ln 2x. Concept used: Product rule of differentiation:…

Q: cln3 Sng tanh(x) sech³(x) dx JIn2

A: To find: ∫ln2ln3tanhxsech3xdx

Q: Differentiate   y = 3(ln x/x)

A:

Q: Differentiate   y = (ln x)2

A:

Q: integrate 2x+3/(x^2+1)(x^2+4) dx

A:

Q: Find d2z/dxdy of z=ln(x2-y)

A: Partial differentiation with respect to a variable of an expression is carried out by…

Q: dx x6 +1

A:

Q: Differentiate   y = ln(x2 + 1)/(x2 + 1)

A: We have the given function as y=lnx2+1x2+1        ⋯⋯1 We know that, for two differentiable function…

Q: Calculate y'. y = ln(x ln x)

A: Given: y=lnxlnx Chain Rule for Differentiation: ddxf gx =f'xddx gx Product Rule of Differentiation:…

Q: Differentiate   y = 1/ln x

A: We can find the derivative of this function using the chain rule of differentiation (differentiation…

Q: Differentiate y = ln ( x 3 + 1 )

A:

Q: Differentiate  y = (ln x)5

A: Given that the function is  y = (ln x)5 To differentiate with respect to x

Q: 5. Lva – 2r dx 6. 5x+2

A:

Q: Solve  x (dy/dx) + 2y = logx

A:

Q: 1x x2 SI x +1)dzdydx 00-y2

A:

Q: Solve dx 2 dy = x + 2x + 4 dx

A:

Q: 2x+ス+ dx ャX-ス

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

Q: Next, simplify. - 3t dt = dx

A:

Q: Differentiate.  y = ln[(1 + x)2(2 + x)3(3 + x)4]

A: y = ln[(1 + x)2(2 + x)3(3 + x)4] y' = ?   We know: ln(AB) = ln(A) + ln(B) ln(A)n = n.ln(A)

Q: Differentiate y=x2 ln(2x)

A: SOLUTION-

Q: 8xー3x+x dx

A:

Q: Integrate .5 X dx 1+x

A:

Q: Integrate: 2x+x+4 dx (x-2)(x2+4)

A:

Q: Differentiate y = x^4 −4/π+ 4e^x + 4x + 4 ln x

A:

Q: V9-x2 2+3x dy dx

A:

Q: / solve: X Ln x dy + Xydx =Ln xdx

A: Solve by integration

Q: Find ∫x2 ln x dx.

A: To integrate: ∫x2lnx dx Integration by parts states that: ∫uv dx=u∫vdx-∫ddxu∫vdxdx Integrating the…

Q: Find ∫x√(2x − 1) dx.

A: Given:  ∫x2x-1dx

Q: Differentiate. y = 3x - 10x2 + 32x + 1 dy dx II

A:

Q: y= Sinh (3x+5x+6) 2. %3D

A: We have to find differentiation of the given function.

Q: solve for y. ln (10 ln y) = ln 5x

A:

Q: x4 + Vtan y = x ln y

A:

Q: | x(x – 2) sech(2x²e¬x) dx ex

A: To find: ∫xx-2sech2x2e-xexdx

Q: equation 1. 2y" – 2x'y"+ 6ry = x(2 ln x +1).

A:

Q: How to solve dx = 2dy = -2dz.

A:

Q: Solve: (2x2+4y)dx+(4x+y-1)=0 www

A:

Q: Solve dy 2x +4y +3 dx

A:

Q: solve for y. 3y = 3 ln x

A: 3y=3lnx

Q: Sel+x3/2 Vx dx ,1+3 X,

A:

Q: Differentiate y=ln [4x(x−7)/(x^3)]

A: Given function, y=ln4xx-7x3 It can be written as y=ln4x-7x2y=ln4x-28x2

Q: Solve: (y + ya)dx +x²dy = 0 ||

A: Given the differential equation is y2+yx dx + x2 dy = 0