Solve using Bernoulli's Equation 1. x^2(dy/dx)+y^2=xy

Q: Can we solve following differential equation by separable variable method dy y = eV+sinx secx %3D dx

A: Given differential equation is as follows : secxdydx=ey+sinx……1 Let Fx,y=dydx If Fx,y can be express…

Q: [2 ln (x)+1] dy in yty cosy %3D dx

A:

Q: 5. Find of the parameters: x = sin 2t and y = - cost at t = dx %3D

A: Topic = Derivative

Q: x sec2x dx (integration by Parts)

A: In this question, we need to find the integral of given function using integration by parts.

Q: .3 Cos x + cos x dx Vsin a 3,

A: Given…

Q: 3) y sin-ly² dy

A:

Q: et-x+l 2x –1 -dx by using substitution method. Integrate

A: First I have made a substitution and integral become easy and then solved . I have written all…

Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

A:

Q: ntial equation dy 1 x>0 + 2y = 1- dx

A:

Q: 2. dy dx

A:

Q: 2 iii. sech x3 tanh( x3 S- -dx 1 X3

A:

Q: Solve 3e* tan y dx+(1-e*)sec² y dy = 0.

A: To solve the given differenrial equation.

Q: determine the general equation using bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

A:

Q: x3sec2y dy/dx+3x2tan y=cos

A:

Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: 4.x+xy? y-x²y ,2 dy dx

A:

Q: arctanx e dx (1+x²,"

A: The given problem is to evaluate the given integral. We have to evaluate by using substitution…

Q: Integrate  dy/dx sinx=1

A: We know, ddxcosec x = -cosec x·cot x ddxcot x=-cosec2x ddx(cosec x-cot x)=-cosec x·cot x + cosec2x…

Q: 2 sinh 3x cosh 2y dx + 3 cosh 3x sinh 2y dy = 0

A: We know sinh xcosh x = tanh x ∫tanh ax dx = 1alncosh ax + C    (where C is constant of integration)

Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: Apply variation of parameters to find a particular solution of y ''' - y' = tan x

A: The given differential equation is y''-y' = tan x.We have to solve this using the variation of…

Q: Tutorial 14 If y = (sin-1 x)², show that dy (1 – a²) - dy = 2. dx dx?

A: Given, y=sin-1x2 Differentiate with respect to x y'=2sin-1xddxsin-1x=2sin-1x11-x2y'=dydx=2sin-1x1-x2…

Q: 3. xy dx + x²ydy = 0

A: Given- xy2dx+x2ydy=0 To Solve- The above differential equation.

Q: dx 2.

A:

Q: 2T sin (2) dydx 0,

A: To evaluate the double integral, ∫π2π∫0x3sinyxdydx.…

Q: dx Q2. Integrate

A: Given,I=∫1x2+15dx Consider x=tanu and u=arctan(x) then, dx=sec2udu…

Q: (dy/dx)tan x sin 2y = sin^2(x) + cos^2(y) differential equation

A: Solution is here

Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: – cos(4x) dx V 1+ cos(4x) d 1-

A:

Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: solve using homogenous and exact. (2x-3y)dx+(2y-3x)dy=0

A:

Q: Soru 1. (1+ 25)dx + 20* (1 - )dy = 0 ; -) dy = 0 ; + 2ey) dx y(0) = 1,

A: Given that:                           1+2exydx+2exy1-xydy=0    .........................(1)…

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

A: Conversion of  differential equation into voltera integral equations

Q: 4. STT- COs y dy -COS

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

Q: 1I) (3y cos(3x)dx-sin(3x)dy)/ y 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve differential equation (2y cos y - x sec y - x tany)dy = (1 + sin y) dx

A:

Q: Find dy/dx by implicit differentiation. 5y sin(x2) = 9x sin(y2)

A: Given :  5y sin (x2) = 9x sin (y2)

Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

A:

Q: Integrate dy/dx=(1+x^2)/(-2x-x^3)

A:

Q: SOLVE USING INTEGRATING FACTOR 2. (2y2 + 2 In x +1) dx +2xydy = 0

A:

Q: sin 6x dx sin23x 4. 6. S Ve3x + e 4x dx ex dx 8. J 1+ e2x

A:

Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: how do i implicitly differentiate (solve for dy/dx) where: xy = tan(xy)?

A:

Q: aur + 2xyury + y*uyy = 0

A:

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: 1 dy if y = dx -1 Find - tan 3x. dy dax

A: Use derivative formula

Q: Obtain the particular solution. 1. 2y dx = 3x dy ; when x = 2 , y = -1 .

A: