1. Find the ODE that have the following solutions: y₁=e-√5x₂ Jz = Xe-VSr

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D = (5/9)t2,…

A: The distance travelled by an aircraft along a runway is given by D = 59t2 The speed at which…

Q: The temperature of points on a plate x2 + xy + y? <1 is modeled by the function f(x, y) = 25(x² +…

A: Given: The temperature of point on a plate x2+xy+y2≤1 is model by the function is : f(x, y)=25 x2+y2…

Q: Suppose that y varies inversely as the 4th power of x, and that y=8y=8 when x=4x=4. What is y when…

A:

Q: The variable s is proportional to t, and s=15 when t=45. Determine t when s=40 1-(Type an integer or…

A: The variable  is proportional to , and  when

Q: Q1. (a) Solve the equation dy rp

A: We have to solve given differential equation

Q: Consider the following two equations. уд Find the values of x for which f(x) = g(x). a.

A: From the given graph of f and g

Q: 2. Use first principles to find the derivative of each. a) f(x) = √2x-1 b) y = ///

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x the derivative is…

Q: Suppose a varies directly as 2b. (a) Express a in terms of k and b. (where k is the variation…

A:

Q: Find the inverses of y=(1-e-x)/(1+e-x).

A:

Q: dy +ycotx-cosec x. dx Solve

A:

Q: Given f(x) = 2x + 1 and g(x)= Vx- 3 + 2, write equations for the following functions. %3D С. g'(f(x)…

A:

Q: The relationship between y and z is given by the formula: z=y4-1.Are both quantities functions of…

A: z=y^4 -1 . For one value of y, there is only one value of z. So z is a function of y.

Q: According to the Pew Research Center, the population of Italy for the next thirty years is projected…

A: We will find the answers of all 3 parts as following.

Q: The sports official in a school wants to draw a sports field, width of 20 m and a length of 120 m,…

A: 1 cm is eqivalent to 1 m.

Q: What is the measurement of

A: Given that:

Q: Find the solution of the following linear ODE given that y(5)=3 dy Зу = (x – 4)² х—4 dx

A: Use integrating factor for the differential equation.

Q: When you use a spray can and press the valve at the top, you decrease the pressure of the gas in the…

A: according to given data P1V1=P2V2                                                 ..1 so, by using…

Q: Use the given values for In a = 7, In b = 6, and ln c = 8 to evaluate the following expressions. ¹…

A: