Classify and solve the following ODE. Make sure to submit a clear, complete, and detailed solution. When in doubt, always err on the side of too much explanation rather than too little explanation. Don't forget this list. − 2xy + (3x² − y²) dy = 0

Q: If x varies directly as y, and x=12 when y=8, then which of the following represents x when y = 12?

A: Given: x varies directly as y

Q: Use the given information to find the unknown value.   y varies inversely with the cube of x. When…

A: It is given that, y varies inversely with the cube of x

Q: Integrate the following expression. 3 5 2 3x dx

A: The given integral is ∫x3+253x2dx ∫x3+253x2dx=3∫x3+25x2dx=3∫x3+25x2dx substitute u=x3+2…

Q: The harmonic function is : = 0 a x² ay? .2 =0 a x² ay? + 1 dx² ду? + =1 dx² ду?

A:

Q: Identify the inverse variation equations. Select all that apply. Oy -1= 2x O y -1= 2 Oy = 2x O y = O…

A: We know that inverse variation is called an inverse proportion So, inverse variation equation is…

Q: Evaluate. [cos³ z sin x sin³ x dx

A:

Q: Find a formula for the inverse of the function. y = 6x3 + 5

A: Given:           y=6x3+5 Interchange the variables.         x=6y3+5 Subtract 5 from both sides of…

Q: Write an equation for each translation. 36. y = sinx, units to the right 4

A: If you have any questions let me know in comment box thankyou for your question.

Q: 4 Solve the following equation and find x: 2 cosh 2x+10sinh 2x=5

A: Given,2 cosh 2x + 10 sin h 2x = 5We know that,cos h 2x = 12e2x+e-2xsin h 2x = 12e2x-e-2xhow we will…

Q: Use the given information to find the unknown value.   y varies inversely with the cube of x. When…

A:

Q: Suppose that y varies directly as x. When x is 9, y is 4. Solve for y when x is 72. (Enter an exact…

A: y varies directly as x. So y=kx

Q: Consider the following. The variable y varies directly as x, and y = 80 when x = 48. Write the…

A:

Q: S sinxcos(2x)dx

A:

Q: find r whent= -7.

A:

Q: 3. Solve analytically. Hint: Move all terms to the left side (obtain 0 on the right) and combine all…

A: