,2 y² e2y dy = e2y 2 (y² y + C 4 2

Q: 2. f(2y+3)y+2 dy

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Q: 2. Use separation of variables to solve the following equations: (a) (y² + 1)dy + (e² + x)dx = 0.

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Q: 4. Find the solution for the following b. y' + 2y't y = cost y) = 1, y ²) = 2

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A: Since you asked two separate questions so as per our guideline we solve only first question.…

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Q: b, y" -zy'-3y= e*

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Q: dy We wish to find the solution to dæ * = x°y that passes through the point (х, у) — (1,3).

A: We have used separation of variable .

Q: An isolated bar is kept at zero temperature at its ends. If it's given initially temperature, f(x) =…

A: First of all the question has a small error in place of (dt) (dx) was printed. Which I had corrected…

Q: a) (x² + y² + z²)² = xyz %3D

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Q: Use Secant method to find to find solution accurate to within 10 for the following problem. (i).…

A: Given function is  (i) f(x)=3xex Here x0=1, x1=2 f(x0)=f(1)=3(1)e1>0 f(x1)=f(2)=3(2)e2>0 Since…

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Q: Obtain the general solution unless otherwise instructed 3. (D² – 3D + 2)y = e2*(1+ e2x)¯1 SUMMARY OF…

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Q: 2. Obtain the particular solution when x = 1 and y = 1 y(? - y? + 1) dx – x(x² - y? - 1) dy = xlx? -…

A: Here is the solution of the given differential equation.

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Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: (D² – 3D + 2)y = e2*(1+e2x)

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Q: b) Show that if y(t) is a solution of the problem y" +e*y + y = 0, y(0) = 1, y'(0) = 2, %3D then…

A: Given y''+e-ty'+y=0, y0=0, y'0=2

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Q: (11): pxy+pq+qy=yz (12): p²+q²-2px-2qy+1=0 ential Equation

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A: Given: The given partial differential equation 3∂u∂t+t2∂u∂x=0 with  u(x,0)=f(x),0&lt;x&lt;1.

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Q: -13x b) y = S dx Integrate. x2-5

A: Explanation is given below..

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