The general solution of 2y" -xy'+ (x - 24 ly = 0, is: OaC,xJ,) + C,xJ_(2) OcC,,(3) + C,xJ_(3x) OeCxJ,(4x) + C,x Y,(4x)

Q: d^2B(u)/du^2 ,but where B(u)= 1/(1+u)^7

A: Given B(u)=1(1+u)7To find d2[Bu]du2:

Q: II Find the y"'of 3x-7 1) y = 2x+11 2) y= 6x-5

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Q: Differentiate and simplify: y= (3 – 4x)²* O a.y' = - 2(3 – 4x)²*-4x + (3 – 4x)In(3 – 4x)] Ob.y'= 2(3…

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Q: Differentiate. y=/3x² – 4 -3x y' = 3x - 4 3x y' = (3x2 - 4)-1/2 3 (3x² – 4) /2 3x V3x2 – 4

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Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

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Q: Solve the equation xydx - (x + 2y)2dy = o A ewy = cy³ (xy) B ewy = c y³ (x-y) c) exy = c y³ (x+y) D…

A: Given : Note : There is a print mistake in the given equation it must be written as : Differential…

Q: h = (-6x³ + 9xª + 5x7) (7 + 5x – 4x?). Then h= fgwhere %3D f = and g = Using the product rule h'(x)…

A: differentiate this with product rule.

Q: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

A: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

Q: g(x,y,z)=x^2+y^2+(z-3)^2

A: For (a), We need to find the equation of the tangent plane to the level set g(x, y, z) = c at the…

Q: find general solution of (x^2 +y^2 +z^2)p +(x^2 +y^2 -xz)q = z(x+y)

A: Given equation is(x2+y2+z2)p+(x2+y2-xz)q=z(x+y)

Q: find

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Q: Part B please g(x,y,z)=x^2+y^2+(z-3)^2

A:

Q: 3-2 7) 6 – z*

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Q: 3 Let y = 5 U2 = and W = Span (u1 u2}. Complete parts (a) and (b). 1. 3 a. Let U = u, u, Compute U'U…

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Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: The product of 2x³ + 3x² + 1 and 2x² + 4 in z5[x]/ is: 5x^2+ 5x +1 4x+1 O x^2+2 None

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Q: 1 4[Vx(ax* + bx +c ]= 2Nx -(5ах* + 3bx + с) b)

A: We have to find  the derivative for the given function

Q: 1- x 5. dx VI - r

A:

Q: what is convolution of [(e^-2t)u(t)]*3dirac(t)+6e^-2t

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.