Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solution as an equation.) Differential Equation Initial Condition YV9 - x² Y - xV144 – y² = 0 y(0) - 12

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Q: 6. Write a user-defined MATLAB function that determines the area of a triangle when the lengths of t...

A: Ws will use Matlab command to define this function 

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Q: Let F(x) =

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Q: = tan x. bns znoitsailggA yt = cos x, andh(x) n rroblems 43–48, use the figures to evaluate each fun...

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Q: [0 0 01 010. B= 0 Lo o 1l [1 20 01 0 10 and lo o o 11 Consider the matrices A =0 0 0 [1 0 C =0 1 3. ...

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Q: Integrate * 2+7 sin'z dz coz²z 2 cos z + 7 sin z + 7 cos z + C O 2 tan z + 7 sec z + 7 cos z + C Non...

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Q: P(x1, #2) –X2, Q(x1, x2) = x1; D = {(x1,x2) :0 < x1 < 1,0 < x2 < 1}. = -

A: Note : " As per our guidelines we will solve only first question . If you want any specific question...

Q: 2. f(t) = (t + 2)² et %3D

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Q: To submit Let R[] be the set of all expressions a = ao+ajx+a2x²+ · where aj e R for all nonnegative ...

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A: Given the data is Inlet P=2MPa, T=400°C, v=50m/s, z=10m Exit P=15kPa, x=90%, v=180m/s, z=6m

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A: Differentiate the expression of f(x) to obtain the expression of f'(x), f''(x), f'''(x),⋯⋯⋯⋯⋯,fn(x)....

Q: log (1 + ax) 1+ x? dx and hence show that =. Evaluate 0, ' log (1 +x) dx = log, 2. %3D 0, 1+x

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Q: Consider the system Sr = 2x2 | = -2x1 Subject to the initial conditions r1 (0) = 3, x2(0) = 4. (a) T...

A: Introduction: A system of a differential equation can be converted into a single differential equati...

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Q: 5. If the Laplace transform of f(t) find F(4s)

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Q: +oo 1 (2n)! ( a) Σ ( c) Σ-1)" 4n2 – 8n + 3 n=1 2" n=1 +00 In n (b) Σ-1)" n2 n=2

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Q: 7. Produce the quadratic polynomial interpolating the data {(-2, -15), (-1, -8), (0, -3)}. Find the ...

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Q: s - 3s2 – 2 S .3 s° + s

A: It is known that:  L-1as2+a2=sinat L-1ss2+a2=cosat L-11s=1