Determine the values of r for which the differential equation y'-y = 0, has a solution of the y = e^rt

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

A:

Q: Using h = 0.2, approximate the value of y(2) for the given differential equation using 4th order…

A:

Q: A tank with a capacity of 250 gal is intended to be used to prepare a sugar solution. The tank…

A: Let the amount of sugar in tank at time t = y(t)

Q: The number of internet users in a country increases at a rate that is jointly proportional to the…

A: Let number of people having personal computer be C(constant), number of people having internet be N.…

Q: (b) Form the differential equation by eliminating the arbitrary constants a,b from y = aez + be 8z

A: Differentiate twice with respect to x then we get the answer

Q: determine the general solution to thegiven differential equation. Derive your trial solution…

A:

Q: y = ay' – In (y') Y

A:

Q: The solution to differential equation associated with the path taken by a projectile for which the…

A:

Q: A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its…

A:

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

A:

Q: y using an integrating factor, find the general solution of the differential equation dy/dx…

A: Given differential equation :                          dydx-ytanx=sinx

Q: y = -CI cos 3x + C2sin 3X

A: Given, y=c1cos3x+c2sin3x We have to find the corresponding differential equation by elimination of…

Q: Find the value of the arbitrary constant of the particular solution of the differential equation…

A:

Q: A: By using Linear equation solve the first order differential equation y' + sec(x)y = cos(x)

A:

Q: he population y(t) of a certain microorganism grows continuously and follows an expo uadrupling time…

A: In this question, the concept of derivatives is applied. Derivative We can use a derivative to…

Q: Solve the differential equation with appropriate method. Finalize answer equated to y. y' = 2xy - x

A:

Q: y = 2xy -x

A:

Q: Classify the entangled differential equation and find its general solution. y′ = xcosecx + y cotx

A: The given differential equation is of the form of  linear differential  . General form of linear…

Q: Assume that a population P of wolves in a region is proportional to the area A of the region. Does…

A:

Q: A stream, which is polluted with insecticide at concentration 8 g/m³, flows at a rate of 24 m³/day…

A: Concentration=8 g/m3 Flow rate =24 m3/day Volume =1800 m3 Initial insecticide concentration in the…

Q: Find the general solution and the particular solution of differential equation given by the initial…

A: To find the general and the particular solution of the given differential equation.

Q: Use the varnation of parameters method to solve the differential equation 1. y"-y =

A: The detailed solution is given below Thank you

Q: A stream, which is polluted with insecticide at concentration 8 g/m³, flows at a rate of 24 m³/day…

A: Given Concentration=8g/m3flow rate=24m3/dayVolume=1800m3Initial insecticide concentration in the…

Q: y In(x) ln(y)dx + dy

A:

Q: Use separation of variables to find the general solution of the differential equation. (6 + x)y' =…

A: Please refer the attached image for complete solution.

Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 4 + 4u + t…

A:

Q: Solve the differential equation Integrating Factor by Linear Equation: y' + X. (4)» = * y = x+

A:

Q: y" - y = e2* - sin x

A: The given question has been solved in detail

Q: y"+y = cosecx cotx %3D

A:

Q: ting factor for the given differential equation is

A:

Q: (2xy-tan(y))dx-(sin(y)ln(5x+15)-y^(-1))dy=0 using Exact Differential Equation

A: Given,Differential equation,2xy-tan(y)dx-sin(y) ln(5x+15)-y-1dy=0To find: General solution of the…

Q: The integrating factor of non-exact differential equation (x°y³ – ®)dx – (y6 – x³y)dy = 0 - -

A:

Q: Find the general solution of the first-order differential equation for  x > 0  by any appropriate…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: A brine solution of salt flows at a constant rate of 6 L/min into a tank that initially held 50 L of…

A: Let y be the amount of a substance. The concentration of the substance can be modeled using the…

Q: In a city of a fixed population of " people , the rate of change (with respect to time t) of the…

A: Given Data: A city has a fixed population is P. Also given, the rate of change (with respect to time…

Q: A normal is drawn at a point P (x, y) of a curve, it meets the x-axis at Q. If PQ is of constant…

A: We will show that the given differential equation describing such curve is correct and will find the…

Q: equation

A:

Q: Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

A: The differential needs to convert in the standard form.

Q: Solve the differential Equation &Y"+y=nsion by using variation of parameter.

A: Given differential equation is ,                                  y" + y =  x sin(x)  Method of…

Q: From the differential equation by eliminating the arbitary constant A and B from the equation y = e*…

A: The objective is to form the differential equation by eliminating the arbitrary constant A and B…

Q: Solve for Higher Differential Equation using Variation of Parameters et x" – 4x' + 3x 1+et

A: see below the answer  as per bertleby I have to solve first question only, please resubmit for other…

Q: 2. Form the differential equation having y=(sin-x)²+ A(cos-lx)+B. where A and B are arbitrary…

A: Introduction :

Q: The differential equation governing the decay of a certain radioactive substance through time is dq…

A:

Q: 2. Find the differential equation having the solution as the equation representing all lines with…

A:

Q: Use variation of parameters to solve the differential equation x²y" + y = x. [Leave u₁ and u₂ in…

A:

Q: Find the value of the arbitrary constant of the particular solution of the differential equation…

A: