0.2 X = -2 0.1 X = -1 0.1 X = 0 Px(x) = {0 X = 1 and X = 2 0.3 X = 3 0.3 Х—4 Y = |X|+1 if E[Y] =? ve var(Y) =?

Q: 5. Find o(ln 3) for a solution (x) to the initial value problem (y + x²eª)dx − xdy = 0; y(ln 2) = 0…

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Q: Solve the initial value problem dy/dx= e^x+4x-3 where y=5 when x=0

A: Given dydx=ex+4x-3and when x = 0 then y = 5

Q: n why the functions with the given graphs can't be solutions of the differential equation Y = e'(y –…

A: We will use standard method for finding the value from graph.

Q: The differential equation X dx + y dy= xy² dx can be rewritten as y + p(x)y=Dq(x)y" . The solution…

A: Given differential equation is xdx+ydy=xy2dx. Converting to the form y'+pxy=qxyn:…

Q: 3. Suppose we know that the graph below is the graph of the right-hand side f(y) of the differential…

A: Given: The graph of the right-hand side f(y) of the differential equation dydt=fy: To draw the…

Q: Find the explicit particular solution of the initial value problem given. dy = y e X, y(0) = 2 e 5x…

A:

Q: 1. Show that each of the functions defined in Column I is a solution of the corresponding…

A: As per bartleby guidelines we only give first question answers.

Q: tank contains 50-liters of brine in which 20 grams of salt is dissolved. Pure water is being pumped…

A: For given statement

Q: 2. Solve the following initial-value problem. dy (x + 1)+ y = In x ; y(1) = 10 dx

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Q: The general solution of the DE y" -y" + y'-y 0 is Ye = C1 e* + C2 Ssin(x) + C3cos(x) None of These.…

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Q: 1. What is the type of the following differential equation? D 2ry+y y+ %3D Seperable Exact…

A:

Q: he particular solution to the differential equation dy/dx= xy+y, given y=e when x=0, is of the form…

A: Given : The differential equation  is dydx=xy+y with y=e when x=0.  the particular solution for the…

Q: A tank contains 50-liters of brine in which 20 grams of salt is dissolved. Pure water is being…

A:

Q: Solve the initial value problem. dy = f'(x) = x-x² +x-1, f(0) = 1 %3D %3D dx

A: initial value problem is Substitution of initial condition in a general anti derivative of a…

Q: (- 1)"x" .n (– 1)"x2n (2n)! (– 1)"x 2n+1 V3 = = n=0 (2n + 1)! n =0 n! n = 0 is asolution for D.E

A: Note that, ∑n=0∞(-1)nxnn!=e-x∑n=0∞(-1)nx2n(2n)!=Cosx∑n=0∞(-1)nx2n+1(2n+1)!=Sinx

Q: 3. The differential equation dy = =X dx 1. will produce a family of quadratic functions. II. will…

A:

Q: Marked out of 2.00 lag question Find the integrating factor for (x-1) y' y +2 (x-1)3. OA. (x- 1) - 1…

A: Rewriting the given differential equation into standard linear differential equation

Q: Find the explicit particular solution of the initial value problem given. dy = y e OX, y(0) = 8 e dx…

A: Solution: The objective is to find the explicit particular solution of the given differential…

Q: 1. Solve the initial value problem, y"(t) + 4 y'(t) + 3 y(t) 8(t – 1) , y(0) = 1, y'(0) = 0 whoro…

A:

Q: What is the Wronskian for the differential equation y"-25y x ? a. W 10 b. W=20 c. W= 25 d. W 5 e.…

A: Given that the differential equation is  y"-25y=x To find the Wronskian of the differential…

Q: 12) S; -dx x3+5x²+6x 13) Sxcos(x²)dx 14) Seln(x³/a) x2/a 15) S tcosh(at + 2)dt 16) s-+e" dy ey 17)…

A: Accorging to our guidelines we can solve only first three subparts,To get remaining solution upload…

Q: Find an implicit and an explicit solution of the given initial-value problem. (Use x for x(t).) dx =…

A: The given initial-value problem,dxdt=4x2+1, xπ4=1

Q: xy dx + (x² – 3y) dy = 0. %3D

A: 6.Given xydx+x2-3ydy=0Test this differential equation which is the form Mdx+Ndy=0so, M=xy and…

Q: If Y1 and Y2 are two solutions of the differential equation y"+p(t)y'+q(t)y : g(t), where p, q, and…

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Q: dx 1. a) Solve+ x = e-(1+last digit of your id)y 2siny. dy

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Q: The differential equation (xy+ x) dx = (x²y² – x² + y² – 1) can be rewritten as y²+1 A dx = dy x2 -…

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Q: ind the solution to an initial value problem (IVP) x" +x = with initial conditions x(0) = x' (0) =…

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Q: The solution of the Bernoulli's differential equation y' + = y*x is: O 1/(xy)^2 =-x+c O (1/xy)=-x+c…

A: Introduction: The Bernoulli's equation is a special type of linear first order differential…

Q: State the order of the given ordinary differential equation. d³y dy - (dx)² + y X dx +y=0 Determine…

A: Order of Differential Equation: The order of a differential equation is defined as the order of the…

Q: For what values of k does the function y = e kx satisfy the differential equation 3y" + 2y'-y=0

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Q: The differential equation 3y(x² –1)dx+(x² +8y– 3x}dy = 0; is exact because ƏM ƏN dy Əx

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Q: Find the particular solution to the following initial – value problem: y = e*+y given y = 0 when x =…

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

Q: Solve the initial value problem* y" - y = x; y(0) = 1, y'(0) = 0 1 y = e* - x cos x y = e* – x y =…

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Q: 1. The differential equation x(3.xy – 4y' +6kdx+(x' – 6x²y² - 1\dy = 0 is exact because ƏM ƏN dy

A:

Q: The size of a population x as a function of time y is given by dx/dy=0.02x+9y . Solve for x as a…

A:

Q: A tank contains 50-liters of brine in which 20 grams of salt is dissolved. Pure water is being…

A: x(t) is the amount of salt in grams in the solution at time 't'Rate of change of amount of salt in…

Q: Find the Particular Solution of the Differential Equation that satisfies the initial conditions…

A: We have to find the particular solution of the differential equation that satisfies the initial…

Q: A differential equation is said to be exact when ôM/əx = ƏN/əy where M and N are its corresponding…

A: -M=2lnx+xy-3 & N=3x2y-lnx+3y⇒M=-2lnx-xy+3 & N=3x2y-lnx+3y Now partially differentiating…

Q: y(x) be the solution to the initial value problem dy ez+y. y(0) = –1. dx Find the value of y(1). O…

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Q: Solve the given initial-value problem. dx1 X1 (t) with x, (0) = - 3 and x2(0) = - 1. X2 (t) dt 3 12…

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Q: The solution of the following exact initial value problem (y cos x – xy sin x)dx + (x cos x – 1)dy =…

A: The solution of the differential equation is defined as the function that satisfies the equation. In…

Q: . The differential equation (2x³ – xy² – 2y +3 )dx– (x²y+2x }dy = 0 is exact because ƏM ƏN %3D ôx

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Q: 1. Find the particular solution of the differential equation dy xy+y when x = 1; y = 1. dx xy+x a. y…

A:

Q: The differential equation y(4)+ay'''+by''+my'+ny=0 has the general solution of…

A: The solution is given as

Q: Solve the initial value problem: dy/dx=xe^(y-x^2 );x=0 and y=0 The answer should be in these…

A: Solve the initial value problem: dy/dx = xey-x² ;x=0 and y=0

Q: Find an implicit and an explicit solution of the given initial-value problem. (Use x for x(t).) dx…

A:

Q: 1. Get the general solution of the differential equation y' + yx^5 = (x^5)(y^7). A. y = [1 +…

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Q: Let F(x) be the particular solution of the e2x differential equation Y"-2y +y = (e* + 1)? * What is…

A: This is a problem of Non-homogeneous differential equation. In which we have to find particular…

Q: If the Sturm-Liouville differential equation is [P(x)y']' + [q(x) + Ar(x)]y = 0 , then the function…

A: Given differential equation y"-2y'+(λ+1)y=0 To determine the function r(x) If the Sturm-Liouville…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.