JCT J New IMH ( zM E PE G NzcxMjl5MzM1/m/MjU1Njg1MTIxMjc2/details News Sy Symbolab Math Sol... Factors Affecting W... 6 Microsoft Word - N... IMH Inv Translate PB COMPILATION SOLVING SIMULTANEOUS DIFFERENTIAL EQUATIONS 1. Semester 2015/2016 (III) : Q4 Consider the following simultaneous differential equations dx x-3y-6e' dt dy =x+5y dt with initial conditions x(0)=1 and y(0)=0. (i) Use the Laplace transforms to show that s-7 Y(s)=- (s-1)(s-2)(s-4) where Y(s)= L{r(1)}- (1i) Determine x(1) and y(r). Answer:

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Q: - Proof that for an ODE of order n of the form y(n) + Pn(t)y(n-1) +.. + p2(t)y + P1 (t)y = 0 it's tr...

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Q: 1. Sketch the region (1, y)|0 < 1< 1, 0 < y< roughly. Find its area(if the area is finite).

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Q: 6. 8 5+ 4+ 3+ 2+ 1+ 十ェ 8 9 -9-8-7-6 5-4-3-2 2 34 5 9. 2+ 3+ 4+ 5+ +7+ 8+

A: Quadratic   

Q: Which is correct?

A: Any value of x.  r 

Q: Solve on paper

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Q: the question is in the attached figure.

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Q: 2. Let a linear system of equations Ax = b where -2 4 2 A = 2 b = (10,5,4)" -3 -2 -3 14. In case we ...

A: By using Dolitte LU decomposition method , A=LU42-222-3-2-314=100L2110L31L321u11u12u130u22u2300u3342...

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Q: Consider the initial value problem y' = 2x – 3y +1;y(1) = 5 i. Approximate y(1.5) using the fourth-o...

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Q: Write the number both as a decimal and as a simplified mixed number.   one hundred twenty-eight and ...

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Q: The population of a town can be modelled by the function P(t)= 20 (4t+3)/(2t+5), where P is the popu...

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Q: Which is correct?

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Q: -T: TR TR be ormation depined ) =(x+Qy= メ+2y-Zッコメ ec) Rang(T) the

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Q: Find the series solution of initial value problem about ?0 = 0.

A: we have given differential equation (x2-1)y"+6xy+4y=0   y(0)=1 ,y'(0)=0let  the series  y(x)=a0+a1x+...

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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.