Solve the differential equation. 7) dy Y-(In x5 7) dx х Solve the initial value problem. 8) e dy + y = cos e; e > 0, y(n) = 1 de 8) Solve the problem. 9) A tank initially contains 120 gal of brine in which 50 lb of salt are dissolved. A brine containing 1 lb/gal of salt runs into the tank at the rate of 10 gal/min. The mixture is kept uniform by stirring and flows out of...
Consider the following information: s = 0.38, dM/dY = 0.12; dY/dM = 0.35, dG = 120 (millions of dollars) where s = marginal propensity to save dM = change in imports, dY = change in income and dG = change in government expenditures (millions of dollars). Compute the change in income due to the government expenditure multiplier (Show the Computation and formula!)
3. Determine the moment at Point A, (MA). F-1.5 kN 30° 200 dy 120 mm 60° dx
Find dy/dx by implicit differentiation. -7xy + 3y - 7 = 0 7[***] - 7y(x + 1)
24- Problem 7. Evaluate T -?- dy da. 0 0
dy Find by implicit differentiation for the function. dx 12x2 – 2y2 = 7
dy 7. Determine the general solution to : x = x+y dx 8. Solve the DE (x - y)dx +(y – x)dy dy 9. Determine the general solution to : x? + 3xy = dx dy 10. Determine the general solution to : xy = 4x² + y2 dx 1 X
dy - 6x² 7. Find the expression for the curve y if di and the curve passes through the point (0,2). (3 marks)
7. Apply Fourier series approach to determine the particular solution of dy +0.5y xfor -7T sxT dx2 (15%) 7. Apply Fourier series approach to determine the particular solution of dy +0.5y xfor -7T sxT dx2 (15%)
Please answer all parts, Problem 4-7. Thank you! Problem 4 dy of the following function y x cosx dr Determine for x-57 dr Q.13 What is the value of Problem 5 dy of the following function y xsin (2x) dx Determine dy for 57 Q.14 What is the value of d Problem 6 cos of the following function y dx Determine dy for 05? Q.15 What is the value of dx Problem 7 dy of the following function y xe...