x³ y" + xy' - y = 0 [ Hint: x = e¹, ln x = t; x(dy/dx) = dy/dt; x²(d²y/dx²) x³(d³y/dx³) = (d²y/dt2) - dy/dt; = (d³y/dt³) - 3(d²y/dt²) + 2(dy/dt)]

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A: Given dydx = e3x+ 2y

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A: Given that: dydx=x2-y22xy and y(1)=0

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A: Given problem:- xy =yx  To find:- y'

Q: (1+x*)dy + x(1+ 4y²)dx =0

A:

Q: find dy/dx y = ecos(x+sqrt(x+lnx))^3

A:

Q: dy/dx (y=x^2(4x+1)^3)

A: To find dy/dx we differenciate both sides with respect to x.On the right side use the Product…

Q: d^4y/dx^4=dx/dy+y^4   Is it linear or non linear

A:

Q: 2 y (4- y²)³ dy

A: The objective of the question is evaluate the definite integral.

Q: Integrate: dx/(K+bx)=dy/-by

A:

Q: = vt – 2, d²y t – 2. d²y y = t² – 3' dx2

A: x=t-2y=t2-3

Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

A:

Q: ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

A: We will first check whether given equation is exact or not ,then we find general solution…

Q: +3x² +1 dx =? x* -1

A: To find: ∫x3+3x2+1x4-1dx

Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

Q: Exercise 1. Find 뿐 for y =DIn (골) (1A) + 3극 3z-2 z(r-1) (1B) 분 (1C) -= (1D) 를-3금 z-1-r z(1-1) (1E)…

A:

Q: e*(y' – y) = 2xy?

A: Given

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A:

Q: dx (5х+1)°

A:

Q: x(^2)+2xy+y(^3)=4 Find dy/dx

A: The given equation is

Q: X- dx dy + (x – 7)y = 8x'

A:

Q: Evaluate dy/dx @ the given point y^5-4=x^5-2y  @ (-1,1)

A: The given equation is  y5 - 4 = x5 - 2y We know that (d/dx) xn = nxn-1

Q: find dy/dx of x^5y-xy^5=1

A:

Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: 2xydx+(x^2)dy=0

A:

Q: Use implicit differentiation to find dy/dx 4G - y = 2x = 2- 4y dx O dy. 2-dy dx

A: It is implicit derivative.

Q: dy/dx=x3cosy

A:

Q: DX-X-5x+4, X(0)=X Dt

A:

Q: Find dy/dx y = sec u, u = X- COS X -

A: Given : y = -secuu = x-cosx