d'a b. :-ka %3D dt? Solve the differential equation and Express the x as a function of trigonometric function

Q: Determine the quadrants in which the solution of the differential equation dy/dx = (1/2)xy is an…

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Q: dy-Jy cos Jy COS

A: Differentiation formula: ddxx=12x Trigonometric proprty: secθ=1cosθ Integration formula:…

Q: 10. 2ste tds +(s²e-t - t)dt = 0

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Q: Is y'' = sin x a linear differential equation?

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Q: Determine whether the differential equation is exact or not exact. (-4xy sin(x) + 8y cos(x))dx + 8x…

A: Solution:-

Q: Use the "integrating factor" method to solve the differential equation below. dy + 3x?y = -6x² dx |

A: We know that, the first order linear differential equation is given as dydx+Px·y=Qx           ⋯⋯1…

Q: B3. Find the equation of the curve whose differential equation is (xcos?2 – y) dx + xdy = 0 And…

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Q: i) Solve the differential equation dx +tan x tan y = cos x secy.

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Q: From the figure formed in integrating -dx, what is the term or value that is adjacent to the angle .…

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Q: Give the number of complete oscillations that will occur over 1 minute for a mass- spring system…

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Q: Let y=A cos x + B sinx is the solution of the differential equation

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Q: у dx — х? dy %3D 0

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Q: Which of these is the differential of y = x· cos x ?

A: From the given data:

Q: Jse computer software to obtain a direction field for the given differential equation. Sketch an…

A: To plot the direction field for the given differential equation with an approximate solution curve…

Q: cos(48°) Use differential to approximate the value of

A: Cos 48° The nearest value to 48 whose cosine value can be taken is 45.Let us consider :x = 45° and…

Q: t sec 0 de dt Oet?

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Q: Write the differential equation modeling this situation. dy dt

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Q: Solve the differential equation. du 6 + tª dt ut? + u^p?

A: The given problem is solved below in detail.

Q: is the differential equation of the sol

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Q: 5. x'dy-y'dx= xydy

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Q: The acceleration of a particle moving along the x-axis is given by a(t) = (1-8)sint for 0 ≤1≤ 8. At…

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Q: Solve the differential eauation du -e 4te dx

A: The general solution of the given differential equation is                               y=tane4x4+C…

Q: Solve the given differential equation by separation of variables. dy/dx = sin(8x)

A: We have to find the solution

Q: This differential equation is linear. What is the P(x)? * Cosa dy + (y- cos'x')da = 0

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Q: Solve the differential equation using simple substitution. dy/dx = e^(x+siny)

A: Given differential equation is: dydx=e(x+siny) Rewriting given differential equation:…

Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A: Given the differential equation is                        y'=y-cosπ2x

Q: Classify the given differential equation according to its type, order, degree, and linearity. du…

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Q: use an integrating factor to solve the given differential equation. dy 5x 4y = Ce - dx

A: Use the mentioned method.

Q: 21. (x + y) dx + tan x dy = 0 %3D

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Q: dy = cos 4x dx Use the integration to find the general solution of the differential equation

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Q: Find the differential of each function. (a) y = tan(3t) dy =

A: We have given  y= tan(√3t)  We have to find the differential equation.

Q: Find the differential equation corresponding to y=a cos (logx) +b sin(log x)

A: Chain rule of differentiation: [f(g(x))]'=f'(g(x))g'(x) Formulae used: ddxcos x=-sin xddxsin x=cos…

Q: Solve the differential equation dy 2y-cotx tan? e dx

A: Given: tan2xdydx=e2y-cotx

Q: ly- cos? x) dx+ cos xdy = 0

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Q: (g) sin vt dt.

A: Intigrating the given equation.

Q: Solve the given differential equation by separation of variables. dN + N = Ntet + 3 dt

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Q: Find the differential equation of the family of circles touching the coordinate axes in quadrant IV.

A: The equation of the circle is (x-a)2+(y-a)2=a2     →    eqn 1 The coordinate of the circle touching…

Q: Solve eqetions sto chastic differential @dX = (-ax,+p)dt Xo=70, O dY = pt Ye dt +

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Use the substitution v = 4 to solve the differential equation: 24 + cos ().

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Q: Solve drc dt dy dt 200 +

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Q: Solve the differential equation given the condition P(1)=5   dP/dt = 5(sqrt(Pt))

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Q: The general solution of the linear differential equation dx/dy -(cot x) y=sin(2x) *

A: The differential should be dy/dx instead of dx/dy.

Q: 2 2 + xp – y - y = 0 xp

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Q: Solve the given differential equation by separation of variables. dy = sin(6x)

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Q: Solve using separable differential equations dx 3xt? dt

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Q: differential

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Q: Find the differential of each function. (a) y = tan 3t dy =

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Q: Solve the differential equation (sec x) dy/dx = ey+sin x

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Q: Find the general solution for each differential equation.

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.