อ พ พ 2 de 3 dxdy + 2y tanw = 0
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- Determine the 5y'' - (y')4 = y3sinx dependent variable independent variable type pde/ode order degree linearityFind the value v,w,x,y,z using G.E.M(gauss elimination method) or G.J.M(gauss Jordan method)A consumer has $280 to spend on two commodities, the first of which costs $2 per unit and the second $5 per unit. Suppose that the utility derived by the consumer from ? units of the first commodity and ? units of the second is given by U(x, y) = 100x0.25 y0.75 How many units of each commodity should the consumer buy to maximize utility? Compute the Lagrange multiplier ? and interpret in economic terms.
- Find ∂ w/∂ x at the point (x, y, z) = (2, -1, 1) if w = x2 + y2 + z2, z3 - xy + yz + y3 = 1, and x and y are the independent variables.Determine the yy''' + 2x = tanx dependent variable independent variable type pde/ode order degree linearityFind the values of x and y using pseudoinverse. x + 3y = 17 5x + 7y = 19