for the O.D.E. Q₁ (A) Determine the value of y رينج كوتا two step. when X=1 given that y(0) = 1 using Range - Kutta Methul with h = 0,5 solve the equation رف dy dx alc 2x + Sinx Methed to

Q: exi solve the Disserentail equatione using homogenous method (x₁² + y) dx-xdy -o

A: given differential equation

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A: Given ddxaxb=5bxa-1...(1) Then, we have to find the value of a if b≠0

Q: find dy. y = 3 csc (1 - 2√x)

A: We use the chain rule

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A: We need to find integral value.

Q: Solve Ja-yi ) dy

A:

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A:

Q: Find dy. y = x| 13 dy = (Simplify your ans × |5

A:

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: v3 du + (u uv²) dv = 0. Solve the given equation

A:

Q: 4. Find / 4 5x² dx. (36x² +20x) 7 ár.

A:

Q: Give nonlinear equation:

A: Given,             sinx=cotx and x0=1, and x1=0.5

Q: Find dy. y = 33 + 10x4 – 5x5 dy = (Simplify your answer.)

A:

Q: Find sec 0. ? (7, V15)

A:

Q: Solve for y. x= (3y+5)/(7y-1)

A: To solve for .

Q: 4 xp£

A: We have to find the integral.

Q: B) Solve the following 3x -dx (x + 5)(2x - 1)

A: Topic = Integration

Q: ebiz -dæ = A+iB.Then sin5x da =? x² + 25 ² + 25 5 5B 5A A B.

A:

Q: sec2 ) 15. Evaluate. - x2 dx

A:

Q: Q.2: Evaluate: -2 2 dx 1 I = x2 - 8.

A: