Solve the given initial value problem. ydx/dy - x = 3y^2, x(9) = 1 Give the largest interval I over which the general solution is defined. (Enter your answer using interval notation.)
Solve the given initial value problem. ydx/dy - x = 6y^2, x(8) = 1 Find the coefficient function P(y) when the given differential equation is written in the standard form dx/dy + P(y)x = f(y) Find the integrating factor for the differential equation solve the given initial value problem Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.)
Solve the given initial value problem. Ldi/dt + Ri = E, i(0) = i0, L, R , E and i0 are constant. Give the largest interval I over which the general solution is defined. (Enter your answer using interval notation.)
Solve the given initial value problem. xdy/dx + y = 2x + 1, y(1) = 7 Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.)
Solve the given initial value problem. (x + 3)dy/dx + y = ln(x), y(1) = 15 Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.)
Proceed as in example 6 in section 2.3 to solve the given initial value problem. dy/dx + y = f(x), y(0) = 1 , where f(x) = {1, 0 ≤ x ≤ 1 −1, x > 1 y(x) = {, 0 ≤ x ≤ 1, x > 1 Use a graphing utility to graph the continuous function y(x).
Consider the following differential equation dy/dx + y = f(x), y(0) = 1 , where f(x) = {( 1 0 < x < 1 -1 x > 1 ) Find the coefficient function P(y) when the given differential equation is written in the standard form dx/dy + P(y)x = f(y) Find the integrating factor for the differential equation. Find the general solution of the given differential equation. Proceed as in example 6 in section 2.3 to solve the given initial value problem. Use a graphing utility to graph the continuous function y(x)