Let y(x) be the solution for the DE. y +y tan(x) + sin(x) = 0 If y(0) = In 2, then at x = %3D - 4 the value of y is

Q: Solve the ordinary differential equation. a) e2*cos(y)sin(x)dx + e*tan(y)dy = 0 b) (x* + 1)dx –…

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Q: Solve the given initial-value problem. (y? cos(x) – 3x?y – 4x) dx + (2y sin(x) – x³ + In(y)) dy = 0,…

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Q: 1 the general solution of (y – cos² z) dr + cos z dy = 0

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Q: Solve the exact differential equation (in y -y sin x- без) dx + (— + сos x + 5 sec ytan y - бу)dy…

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Q: Solve the given initial-value problem. (y² cos(x) - 3x²y - 6x) dx + (2y sin(x) − x³ + In(y)) dy = 0,…

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Q: dy In(1 – x) + dx y = cos x, y(0) = 0 х-1

A: The differential equation is given as ln(1-x)dydx+yx-1=cos x It can be rewritten as…

Q: Solve the separable equation y(3+ sin(z2))dy E cos()da subject to y(0)=-Va where a> 0 is a constant.

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Q: 2. Let y(x) = tan r. Show that y is the solution to the initial-value problem %3D dy =1+ y, y(0) =…

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Q: Find the solution of the initial value problem dy da y(0) = -2. 2 cos(x) +2x, The solution is: y =

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Q: The general solution of y" - 2y' +y= e* cos(x) is

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Q: Solve the given initial-value problem ) = y (y + sin x), y (0) = 1 2xy + cos x %3D 1+y? dx Upload…

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Q: 1. Solve the simple concentration problem P.D.E. xux + U̟ = 0 ,-0 < x < ∞, 0 < t <∞ I.C. и(х,0) By…

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Q: The solution of the differential equation is dy Y =sin x dx x O x(y +cos x ) = sin x +c O x(y - sin…

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Q: 3. Find the general solution of y" – 3y + 2y = cos (e~-).

A: We use the method of variation of parameters to find the solution of y''-3y'+2y=cose-x First we find…

Q: and the differential equation M (x, y)dx + (sin x cos y – xy - e-)dy = 0 is exact. |

A: It is exact differential problem

Q: The solution of the initial value problem dy = 3x?y? + 3y2 + 3x? + 3, given that dx y(0) = 0 is x3 +…

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Q: To solve the ordinary differential equation dy +xx dx = sin x, y(0)= 5. 3 by Runge-Kutta 4th order…

A: The form of differential equation to use Runge kutta 4th order method

Q: $(x) = sin x cos x is a solution to the initial value problem d²y +у%3D0; у(0) %3D — 1, dy - (0) =…

A: We have to solve given problem:

Q: . Find the general solution to y + 2x = 5y³. dy . Solve the initial value problem of (sin x) = y cos…

A: Topic:- differential equations Note :- as per our guideline if more than one question uploaded than…

Q: Solve the exact differential equation (In y -y sin x-6ex)dx +( + cos x + 5 sec y tan y -6y)dy = C y…

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Q: Find the solution of the given initial value problem in explicit form. π sin(2x) dx + cos(9y) dy =…

A: Given: Now,                sin(2x)dx+cos(9y)dy=0Integrating both sides we…

Q: Solve the exact differential equation (In y - y sin x-6e)dx + ( + cos x + 5 sec y tan y - 6y)dy = 0…

A: Given a differential equation, Compare the given differential equation with M dx+ N dy=0 Therefore,…

Q: Solve the initial valve problem au - y' sin x, y (0) = 3 dx = y° sin x, y (0) = 3

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Q: 1 Find the complete solution of y" - 2y' + 2y =x + e* cos x.

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Q: The solution of the separable differential equation – x²y² = x² is: dx None of the above…

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Q: What is the general solution to the differential equation dy = dx + 3y tan x ? sin³x y cos³x = sin x…

A: Correction : In right hand side of given differential equation is {dx + 3y tan x dx}

Q: The implicit solution of the differential equation (1+ x) dy = (1+ y')dx by using variable separable…

A: The answer and detailed explanation is given below-

Q: Find the solution to the initial-value problem. dy dx = y2ex sin(7x), y(0) = 1

A: Given:    dydx = y2exsin(7x)       ,   y(0) =1

Q: Find the solution to the initial value problem y (z) – 6 ( y (x) ) + 10 y (x) =-2 sin (3 z) + 36 cos…

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Q: Solve the initial value problem. (x^2+1)dy/dx+y^2+1=0 , y(0)=1 : tan^-1(x)+tan^-1(y)=c1 , x=0 and…

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Q: Solve the given initial-value problem. (y2 cos(x) – 3x²y – 4x) dx + (2y sin(x) – x³ + In(y)) dy = 0,…

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Q: Solve the fourth order differential equation completely d*y d°(y/x) dx sin(x)+ cos(x) %3D 3 dx³

A: Given: A fourth order differential equation…

Q: Find the solution of the given initial value problem in explicit form. sin(2x) dx + cos(8y) dy = 0,…

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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: Find the general and special solution of .the differential equations X cos^2 Y dx +tany dy=0

A: By Separation of variable we can solve the problem.

Q: dy 8. Solve the initial value problem of (sin x) = y cos x = x sin x. dx

A: Given that sin x dy/de +y cos x = x sin x Or     dy/dx +y cot x = x Which is linear I.F. =…

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

A: does not satisfy

Q: ds Find the particular solution of dt H|2 1 = cos-t

A: The given equation is;  ds/dt = cos (t/2).

Q: Let y(x) be the solution to the initial value problem y" + 2y' – 3y = = -130 e-A" cos(5.x), y(0) =…

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Q: Find the solution of the given initial value problem in explicit form. 77 ㅠ sin(2x) dx + cos(8y) dy…

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Q: Solve the exact differential equation (In y -y sin x-6e)dx+( + cos x + 5 sec y tan y -6y)dy = 0 y (A…

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Q: 2. Obtain the general solution of the following first order differential equations. sin x sin y dy +…

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Q: Solve the given initial-value problem y' + (tanx)y = cos?x, y(0) = -1

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Q: Solve the separable differential equation dy -0.1 dx cos(y) and find the particular solution…

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Q: To solve the ordinary differential equation dy 4- + 5y? = sin x , y(0) = 5 %3D by Euler's Method,…

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Q: (b) d²y dy Find the solution for cos(x) ² − (1 + x²) dx − 2xy = 12 with the conditions - dx² dx 1+x²…

A: Given cosxd2ydx2-1+x2dydx-2xy=11+x2y1=-1, y2=2, h=0.25`

Q: d'y dy -2x Find the particular integral solution of -4 = x +3 cos x+ e. dx dx

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Q: The particular solution (x = 1, y = 0) of the differential equation X+x cos y -y sin y dx +x sin y…

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Q: 8. Solve the initial value problem: ( dy = y(y + sin x), y(0) = 1 dx + cos x – + y? 2xy

A: The given problem is to solve the given initial value problem, Firstly we have to check the…

Q: What is the general solution to the differential equation y[1 – xy tan(xy)]dx – x[1+ xy tan(xy)]dy =…

A: Put yx=v and solve it.

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.