Find the mathematical expectation of a random variable with (a) uniform distribution over the interval [a, b], (b) triangle distribution, (c) exponential distribution.

Q: Solve the given Ricatti equation dy = e2* +(1+2e* ]y +y²,y, =-e*is a known solution of the equation.…

A: Given, the Ricatti equation                                                 dydx=e2x+1+2exy+y2…

Q: XXXX 4. Show that the difference of two solutions of an inhomogeneous linear equation Lu = g with…

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Q: Evaluate the given Laplace transform. L{i**te'}

A: I have given the formulas where i used them

Q: Lu = V1+.x2 (cos y)ux + Uyxy – [arctan(x/y)]u x² уху

A: #Answer of 2(e)

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A: Note: “Since you have posted a question with multiple sub parts, we will provide the solution only…

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A: Given That : Let P be the number of bacteria present after t hours. N is the maximum possible…

Q: Determine the Laplace transform S)०ठी ह

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Q: ÕP dt = 6(5 - Q(t)) Q(0) = 0

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Q: G Market Equilibrium: Stability and Time Paths Courtesy of James E. Foster, George Washington…

A: Given: qd=d0-d1p qs=-s0+s1p Equilibrium price is: p*=d0+s0d1+s1. The market equilibrium is said to…

Q: Solve X= 3 2. -8 -5 emet

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Q: Solve the initial value problem √y dx + (x - 2)dy = 0, y(3)=9 The solution is -2√y = In |x-2- -…

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Q: Prove or disprove that the quotient of two harmonic functions is harmonic.

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Q: Solve the given initial value problem. O x²y² + xy³ = -18 Ox³y² +xy³ = 18 O x³y²+y³ = 45 Ox³y² - xy³…

A: The given differential equation is; dy/dx = - (3x2y+y2)/(2x3+3xy), y(2)=-3.

Q: O In 1999 The aDepartment of Natural Resoure Ca crosrbreed A heh)into a fane, In 1998,7he populaton…

A: Please check step 2 for the solution.!

Q: Differential equation GIVE 5 examples WORD PROBLEM with complete solution (step by step) about…

A: To give 5 examples of Auxiliary differential equation.