tany = C secx

Q: at Solve thie équation use Eulers methoc- ds -t X-ツ dx x+y y(6)%=1

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Q: Solve using integrating factor by inspection: (x^3+xy^2-y)dx+(y^3+x^2y+x)dy=0

A: Solve using integrating factor by inspection: (x^3+xy^2-y)dx+(y^3+x^2y+x)dy=0

Q: Jay ti dx dy Compute the integration

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Q: Provide the IMPLICIT solution as final answer unless EXPLICIT solutio (1) y' x(1 + y2); Provide the…

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Q: t sin(2t)dt.

A: Given : ∫tsin2tdt

Q: Q8 Integrate by parts: x sin x dx

A: .

Q: Initial velocity of a free falling ball is v = 1.2" , what will be the ball m m velocity after 1…

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Q: Use Green's function to solve: y" – 4y' + 3y = ex, y(0) = 1, y'(0) = %3D

A: Introduction: Green's function is another method to solve an initial value problem. Green's function…

Q: | t sin(2t) dt 1.

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Q: pY (y | 0) = 0"(1 – 0)'-", y = 0 or 1, where 0 < 0 < 1 is a parameter. a) Find an estimator ÔMOM of…

A: In method of moments, the theoretical moments are equated with the sample moments in order to…

Q: A particle moves along a coordinate line in such a way that its velocity at any time t is given by…

A: We have, a particle moves along a co-ordinate line in such a way that its velocity at any time t is…

Q: یک 2. G(x) = L tanz et et +3 -dt

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Q: find dy/dx

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Q: Question The approximation of fxln (x + 5) dx using two points Gaussian quadrature formula is:

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Q: 1- f(t) = 2t³; 3–f(t)=sinh(2t); 5-cosh (t) sin(2t);

A: Given :1. f(t)=2t33. f(t)=sinh(2t)5. cosh(t).sin(2t)

Q: Q3: Find the general solution for the following Deferential Equations using d²y + y = - sin x…

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Q: Solve the DEQ given the initial condition (2,0). Graph it on the slope field. 11 « 10 Let…

A: dydx=g(x,y)g(x,y)=ey(3x2) - dydx=ey3x2Separating the…

Q: A particle moves along the x-axis with velocity dx/dt = ƒ(x). Show that the particle’s acceleration…

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Q: valuate the triple integral ***"* sin² (z)ze-²v³ dzdyda

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Q: order differential coefficients as serie (b) y) when y = (7) sin 50. 50

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Q: A particle moves along a straight line from the origin (O) with an initial velocity Va=6ft/sec and…

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Q: In? (In(ax)) dx,a >0 -dr, a a. 2x In(ax)

A: You can solve this problem using the substitution method

Q: A particle moves in a straight line from the origin (at t= 0) with given initial velocity u, and…

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Q: A. = 2x - y + sin2t dt = 4x + 2y + 2cos2t (variation parameter). dt

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Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: hat is the number equal to L sin (3rt) dt?

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Q: sin(2t + ) dt JT 2 e2t-3 -3 4 e3 7 7 64e3 7 8. 5 4 4

A: Proceed as shown

Q: Solve the equation using suggested substitution: (3siny-5x)dx + 2x2cotydy = 0; let z = siny

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Q: The linearization of ex at x = 0 Derive the linear approximation ex = 1 + x at x = 0.

A: Given, ex ,x=0 We know that, The formula for the linearization is, Lx=fa+x-af'a

Q: Solve the disfertial equation xy' -Y =Xtan ) %3D

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Q: c) Calculate the integration Y+1 dydx

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Q: Eliminate the arbritrary constant/s. Show full solution. x= -In t, y= at + bt?

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Q: 4. y? cos x dx + (4 + 5y sin x )dy = 0

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Q: A. Integration by parts i) (3t +t²) sin(2t) dt

A: since u have asked multiple question in a single request so we will be answering only first question

Q: y (x 2 + y 2 – 1) dx + x (x 2 + y 2 + 1) dy = 0

A: First find integration factor then solve Using formula

Q: The approximation of I = f(x-3)** dx by composite Trapezoidal rule with n=4 is:

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Q: A particle moves along a straight line with equation of motion s = t – 1tª Find the value of t…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: #@3 g (x1y) =- 7x3 -49xy + 7y3 Find and elassify all the extrema of the fine tion

A: Given- gx,y=7x3-49xy+7y3 To Find- All the extrema of the above function. Concept Used- Using the…

Q: Use Newton's method with the specific initial value z1 = 1 to approximate the root of the equation…

A: As we know that; The iteration formula for Newton's method. xi+1=xi-fxif'xi ; i=0,1,2,3...... From…

Q: A particle moves in a straight line and has the position function given by    s(t) = sin^2t−sint…

A: To find the velocity function

Q: A particle moves on the 0x axis with acceleration proportional to velocity. Assuming that v(0) = 3,…

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Q: Find the solution. 7. (3siny – 5x)dx + 2x2cotydy = 0 hint: let z = siny

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Q: Use variation of parameters method to solve b. y" + y = tan x

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Q: Find dy/dt Y=(1+Sin 12t)^-5

A: Given function is y=(1+sin12t)-5

Q: 5) Approximate -dx 1 +: Using the Trapezoidal rule and Simpson's rule with h=1. Find an error in…

A: We have to use both numerical methods for 4 subintervals as h=1 and (b-a)=4.

Q: y

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Q: a) cost sint sin t cost 2 3 4 b) 1 0 1 7 6 5 0509 0 1 1 0 (c) 3 3 30 0 4 4 1

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Q: Use the Integrating Factor Method to solve 2y′−y=sqrt(x*e^x), y(1) = 0.  Put your solution in…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.