Q1:-Solve the following equations(choose three only):- 1- y +y=-x'y

Q: solve using the appropriate method. (y − 1)y'= t , y(1) = −3

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Q: Find the number of non negative solutions to x+y+z= 21. With the conditions that x < 3, y ≥ 2, z ≥…

A: Given that x+y+z=21 with the conditions x&lt;3, y≥2, z≥4

Q: Find the solution of the equation on the interval [0, 2π).

A: We have, cos (A+B) = cos A cos B - sin A sin B sin (A-B) = sin A cos B-cos A sin B

Q: Solve x?y" – 2ry' + 2y = x³ In x by first finding the complementary solution and then using the…

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Q: Solve using the method of undetermined coefficients: x" – x' = te*;x(0) = 2,x'(0) = 1 %3| -

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Q: y" + y' - 3y = 4sin 2x

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Q: Calculate X, y and Z.

A: Data given we want to find mean of X, Y and Z  Mean= (sum of all observation Xi)/number of…

Q: D. y" + y’ - 3y = 4sin 2x

A: This question is related to differential equations, We will solve it using given information.

Q: y'-5y=x'e* – xe³* - хе

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Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

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Q: Solve the equation by determination method: Inx + e» + tanz = 3 ... (1) 2lnx + 4tanz = 5+ ev (2)…

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Q: Solve the following equation y" + 2/ + y = * using the method of variation of parameters.

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Q: If x, y, z E N, solve the equation: 2 3 1 - -

A: Given that, x,y,z∈ℕ and the given equation is: 1x+2y-3z=1

Q: Solve the following equations  by the method of undeterminedcoefficients. y" + y = e2x

A: The given equation is y" + y = e2x Substitution of y=ex into the differential equation yields the…

Q: Solve for y in terms of x. 16x+4/3y=15 Y= What is step by step procedure to solve.

A: Solve for y in terms of x. 16x+4/3y=15 Y= What is the step by step procedure to solve?

Q: Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2

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Q: (b) Solve 1 y +-y= 0, t> 0. t

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Q: 9. (D² – 1)y = e¯* + 1

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: y' = = CSC x - y cotx

A: The standard equation of first-order linear differential equation is: dydx+Pxy=Qx The solution of…

Q: 9 y y' - -y x2 and find the solution that satisfies y(1) = 1.

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Q: Q2) Solve the following equation Cauchy Euler Equation Method 2a?b" + 3ab' – 15b = 0 where, b(1) = 0…

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Q: Determine the type of DE/method of solution to be used and solve. y′ = x3 − 2xy, when x = 1 and y =…

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Q: Solve the equation by variation of parameters. y′′ + 2y′ + y = ex . y′′ - y = x

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Q: 3y = 3xy' + y'3

A: Solution: Here 3y=3xy'+y'3 Divide both sides by 3 y=xy'+13y'3   ......(1) Let dydx=P Then from…

Q: Solve the following equations  by the method of undeterminedcoefficients. y" + y = 2x + 3ex

A: The given differential equation is y''+y=2x+3ex. Its auxiliary equation is m2+1=0. Solve as follows.…

Q: Solve for the solution using variation of parameters: (D2-1)y= 2/(1+ex)

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Q: Solve using the method of variation of parameters 1 у" + Зу' + 2у 1+ e*

A: Using method of variation of parameters

Q: Determine-for the implicit equation x2-10 y = 3x dy

A: We, differentiate both sides with respect to y. We use the product rule of differentiation which…

Q: Solve Q.) by Using Variation of Parameters method : 4ý+36 y = csc (3x).

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Q: b, Solve dy- y -n3y²--x5 finding particular solution.

A: Solve DE

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: Use an appropriate substitution to solve the equation 9. and find the solution that satisfies y(1) =…

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Q: Q4\ Solve by Gaussian elimination x - 4y - 2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: Solve for the specified variable. V: 2 zrh, for h 3.

A: V=23πr2h

Q: Solve the given differnetial equation by undetermiend coefficents  y'' + 2y' = 2x +7 -e-2x   y(x)…

A: Given:-           The differential equation  is:…

Q: Solve the equation  by variation of parameters. y′′ + y′ =x.

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Q: Solve the nonhomogeneous equation: (D2-4)y = 2 –8x, when x=0, y=0, y’=5, using undetermined…

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Q: Find the solution. Auxiliary equation and general solution y'= 1 + 3ytanx

A: The given first order linear differential equation is y'=1+3ytanx. Find the solution. Here we use…

Q: Solve the simultaneous equations y = x + 6 and y = 2x² algebraically and show the result…

A: First equation represents a straight line and second equation represents a parabola symmetric about…

Q: Solve by the method of undetermined coefficients.   y′′−y′−6y=50cosx

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Q: How to solve this equation y" - 4y" + 2y' - 16y = 4x + 1 using Variation of Parameters.

A: Step:-1 Given that y'''-4y''+2y'-16y=4x+1 For complementary function, The auxiliary equation is…

Q: Solve Q.!] by Using Variation of Parameters method : 49+36 y = csc (3×).

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Q: Solve the equations by variation of parameters. y" + 2y' + y = ex

A: y''+2y'+y=ex    ------------(1) reduced equation of equation (1) is  y''+2y'+y=0    -------------(2)…

Q: Q.1 Solve the equation x'y-3xy' +3y-2x'e' by method of variation of parameters.

A: We are only allowed to solve one question at a time and up to three sub-parts. Please post the…

Q: Find the general solution of the equation by the variation of parameters method: y" – 2y'+ y = x?e"…

A: Given: y''-2y'+y=x-2ex

Q: Solve Q. by Using Variation of Parameters method : 4ý+ 36 y = csc (3×).

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Q: Q13. Use Variation of Parameters to solve the DE e2x y" – 4y : - %3|

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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.