Using the Bisection Method, False Position Method, and Secant Method, what is the root? Use error = 1 x 10* and the interval is 0.5000 and 0.6000.

Q: 1 x")dx

A: Use the following integration formulas: 1 ) Sum rule of integration 2 ) power rule of integration

Q: Solve Sx Joox Sx Jox) Sin (x) dx

A: We can solve the integral using integration by parts: Let u = Jo(x), and dv = sin(x) dx, then dudx =…

Q: Find the solution of the equation = e cos y dy? which tends to zero as x → 00 and has the value cos…

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Q: Find the solution of the equation y^' = (1+y) sec ⁡x + tan⁡ x. and, Solve the equation x dy - y dx…

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Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

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Q: M= Cos(xyz)+log3(xyz)-Csc-1(xyz) solve= ∂3M/∂xyz

A: Given;                  ∂3∂xyzcosxyz+log3xyz-cosec-1xyz…

Q: Find y' if y= 8x y D

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Q: solve using the appropriate method. y' + yx= sin x

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Q: Solve y" = sin x for y(0) = 0, y'(0) = 2.

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Q: fx- sin(2x ) dx

A: Given that  The integral is xsin(2x^2) To evaluate the integral

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Q: 70. 4y" +5y' - 2y = e²+xsinx

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Q: Find the general solution of the equation: y' -2y = 2 sin(3t).

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Q: Solve: y" - 2y' = xe 4x

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Q: Solve the DE (D-1)y= 3 sinx+ 22 - 2x°2

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Q: SOLVE STEP BY STEP THE FOLLOWING ODE IN DIGITAL FORMAT y' = 3(y - 10)

A: We have to solve the ODE  y'=3(y-10)

Q: 2x – sin y y' = x cos y

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Q: log5 (y? – y) + csc-1 CSC -3y ||

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Q: y = 3 sin' 2 x у

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Q: olve: y=ln ln [cos2(3x)]

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Q: dy._ y dx xlogx logx sin2x

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Q: Solve the following Clairaut equation   y=xy'+(y')^2

A: Firstly we will differentiate this equation to get simpler differential equation

Q: Solve for the arbitrary constant: * y' = (sin² x)(cos²x); y(0) = 1 hint: use double, half angle…

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Q: d'y -+42=sin 2x 3 dx dx

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Show that 1- tanh²(z) = sech² (z).

A: Identities of hyperbolic trigonometric function  cosh2z-sinh2z=1tanhz=sinhzcoshz1coshz=sechz