2. u(x)= secx+à So u(t)dt.

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Q: [1+ ytan(xy)]dx + xtan(xy)dy = 0

A: GIVEN: [1 + y tan (xy) ]dx + x tan (xy) dy = 0

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Find the general solution of the differential equation. (Use C for the constant of integration.) 4x2…

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A: Given differential equation is t2y'' - t(t-3)y' + (t-5)y = 0

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Q: Use the method of variation of parameters to solve the given non-homogeneous linear ordinary…

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Q: Find the general solution of the differential equation. (Use C for the constant of integration. dy…

A: To determine the general solution of the differential equation.

Q: dy/dx − x^3 = 0 where y(0) = 5

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Q: Find the Wronskian of two solutions of the differential equation t²y" - t(t− 3)y' + (t− 2)y=0…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Given differential equation is 7y'+y=4t2. To find: General solution of the differential equation and…

Q: Find the Wronskian of two solutions of the differential equation t²y" — t(t − 3)y' + (t − 6)y = 0…

A: Wronskian of two solutions

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: We know that , A first order linear differential equation has the form ,  y' + Pt y = Qt  We have…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: To find the general solution of the differential equation.

Q: SHOW YOUR SOLUTION: Solve the constant of integration of the given differential equation xdi+6ydy=0…

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Q: Find the Wronskian of two solutions of the differential equation t²y" -t(t-5)y' + (t-3)y=0 without…

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Q: a) Use the method of Superposition Approach and the variation of parameter to solve the differential…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Given : The differential equation 5y'+y=8t2. To find : The general solution of the given…

Q: Find the general solution of the differential equation. (Use C for the constant of integration.) dy…

A: Separate the variables . i.e, separate variables of 'x' and 'y'  and integrate .

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: Consider the given D.E. Rearrange the D.E.

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Q: Find the Wronskian of two solutions of the differential equation t²y" – t(t – 3)y' + (t – 5)y = 0…

A: The given question is related with differential equation. Given that,                     t2y'' -…

Q: Use an Integrating Factor to solve the differential equation.

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Q: Find the general solution of the differential equation. (Use C for the constant of integration).…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Above question is solved.

Q: Find the Wronskian of two solutions of the differential equation ty" – t(t – 6)y + (t – 5)y = 0…

A: Directly use the formula for the Wronskian of a differential equation.

Q: Solve the seperable differential equation 3yy' = x. Use the following initial condition: y(3) 10.…

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Q: What is the suitable formula to solve differential equation using method of integration factor? A.…

A: This method is used to solve 1st order linear differential equation.

Q: Use the method of steps to solve the delay differential equation dx x(t – 1) + 3; x(t) = 1 V…

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Q: Find the general solution of the differential equation y + 10xy 0 using separation of variables.…

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Q: Find the Wronskian of two solutions of the differential equation t²y" — t(t — 5)y' + (t− 2)y = 0…

A: Given differential equation is t2y'' - t(t-5)y' + (t-2)y = 0

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Q: Find the Wronskian of two solutions of the differential equation t²y" - t(t-4)y' + (t - 2)y=0…

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Q: (y* – xy)dx + (xy³ + x²)dy = 0

A: Solution is given below:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.