dy re: (e + e-")- = y² (separation of variables) da

Q: Differentiate. x4 y: 3 — х3 y' У -

A:

Q: 2x dx e2* +3e" +2 5.

A: To solve this integral, a substitution of is taken. Then it is differentiated to find the value of…

Q: exp(iz) = 1+ iV3.

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Solve : y dx - (x+2y*)dy =0.

A: The given differential equation is: y dx-x+2y2dy=0 To solve the given differential equation.

Q: (ど4ー) 2dx 4 X(3(Inx)*+121nx-15)2 2)

A:

Q: 2 dr x>1 rVF - 1

A: We will find the integral as following.

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: Find y": Vy - Vx = Va

A:

Q: fostp Ex=(Xzy)=-3:52-25)

A:

Q: Order One DE y'-(3tanx)y=1

A: The given differential equation is the linear of the form y' + P(x) y = Q(x) Where, P(x) = -3tanx…

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: Linearize the non-linear equation: 1. y=c+ax^n

A:

Q: What is the order of the equation y" y- (y')³=4?

A:

Q: y-Castesinz şinz

A: The detailed solution is as follows below:

Q: Y"+y=secxtanx

A: Given, y'' + y = secx tanx This is a second order linear, non-homogeneous ODE. We can write the…

Q: -, z) = ( %3D

A:

Q: find dp/ dq. sin q + cos q = cos q

A:

Q: Зу" +y=0.

A:

Q: * Salne the equalion:- (2x-44 +5)y'=n -2y+3

A: This homogeneous differential equation is solve by substitution and then by separation of variables…

Q: Differentiate y = xe у'3

A: Apply product rule. (uv)'=u'v+uv'

Q: 6/T-9x dx

A: Here we have to integrate        ∫[(6√x - 9x)/x2] dx