ds dS S 2. Find the solution 2 -= 5t³S³ dt t

Q: Q.3 Solve v = e»+vã dx

A: Use the variable separable method and Integrate to get the solution of given differential equation.

Q: 1. and t= 1-X %3D 7. find at X= 2 10

A: Please refer the attached image for complete solution.

Q: Determine the total differential, dz. f(x, y) xye® 5xy Factor each part completely. dz =

A:

Q: QA, Solve the Ive : y'= [2+Y-2)", y lo) =2.

A: Using substitution method to variable separable form.

Q: S sec x dx Use Integration by parts to solve

A:

Q: 1. L= V1 + 16x6 dx

A: First, we factor out 16 from the radical term, So, it becomes,

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A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: 0.08 dz Find /23e

A:

Q: A tank contains (400 L) of brine made by dissolving (20 kg) of salt in water. Salt water containing…

A: dVindt = 2 L/min       (Volume in rate)dVoutdt = 5 L/min    (Volume out rate)Therefore, Net  dVdt =…

Q: 2 dx 43.

A: Given integral is

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A: Use the formula, ∫axdx=axlog a+cwhere, c=constant of integrationlog a≠0

Q: find y' for Zy%3D2X-2y

A:

Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: 3X-Y-4 2 . when X=4 i y=l

A:

Q: Find oy for dx2

A:

Q: d 0.6 56. 2.8x -3. dx

A: Differentiate

Q: 1. Solve for 'x': vx + v2x +7 = 8

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Q: dy 6. + 2xy? = 0 dx %3D

A: Topic = Differential equation As per guidelines  , At a time only one question can be answered out…

Q: dy + va Find -for y = da

A: Given: y=4x+x Use formula ddxxn=nxn-1

Q: I = 4t? dt J2

A: