Use the Laplace transform to solve th integral equation y(t) = 1– sint- fy()dt O A. 3 -t sint cost - 2 O B. 3 t sint cost 2 OC.3t O C. 3 -t e 2 sint cost - - 4 2.

Q: Find dy dx dy dx 11 y = cot ¹(√8-x²) x

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Q: df + At" f(t)– B•cos(@t) dt with A = 5, n = 2, B = -6, w = 12, and f(0) = 3. derive an expression…

A: We are given the differential equation,                                      .

Q: 31+2 dy - of the function y= dt 7. Find +4 dy of the function y = 5 tan (6x)+ log, (36x² + dx 8.…

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Q: dy соmpute dx for implicitly given function cos(xy) + 2y = x³

A: cos(xy)+2y=x3Differentiate with respect to x,-(sin(xy))y+xddx(y)+2ddxy=3x2

Q: Find the value of dw/dt if w = x2+y2, x = 26 cost and y = 26 sint

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Q: Let y = 3x² + 3x + 4. ind the differential dy when x = 4 and dx = 0.4 ind the differential dy when x…

A: Given query is to find differential at given point.

Q: Compute dy/dx for the function. 2. y= sinh 7x

A: y=sinh27xdsinh(x)dx=coshx

Q: Linearize given function at point and fin an error upper bound xy + y cos (x – 1) at Po (1, 2), take…

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Q: cos(2y - x) = 3ysin x

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Q: Use the Laplace Transform method to solve the given system d²x (b) +- y = 0, dt2 dt dx dz 2 - x + -…

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Q: Find the value of dr / dt at t = 0 if r = (θ2 + 7)1/3 and θ2t + θ = 1.

A: Consider the provided equation, r=θ2+713 and θ2t+θ=1 Find the value of drdt at t=0. Apply the chain…