Differential Equations proficient (only). I am happy to rate every answer based on the conditions below.

Use the tool-free link below to provide the graph.

https://homepages.bluffton.edu/~nesterd/apps/slopefields.html

1. Consider the following differential equation: dy 1- t dt y2 - 4 Perform the following: a) Find the general solution b) Find the particular solution with the initial condition y(0) = -1. Sketch your solution on the slope field obtain from a graphing tool (for ex- ample https: //homepages . bluffton. edu/=nesterd/apps/slopefields. html c) Explain in your own words theorems about existence and uniqueness of solutions of differential equations y' = f(x,y) (Theorem 1 and Theorem 2 from Section 1.3 of the lecture). Use the example from this question to illustrate your thinking. d) In your own words, compare the actual intervals of existence and uniqueness to the conclusions of the theorems.+ View Option! * Slope and Direction Fields for Dif X You are viewing Rafah Abdulsahib's screen homepages.bluffton.edu/~nesterd/apps/slopefields.html BLUFFTON UNIVERSITY > MATHEMATICS > DARRYL NESTER > JAVA[SCRIPT]: SLOPE AND DIRECTION FIELDS 3.0 One ODE System Polar ODE Polar system dy/dx = 3y 2.0 Variables: dy/dx v 1.0 0.0 -4 SXS 4 with 20 segments -3 sys 3 with 15 segments -1.0 PLOT NUMERICAL SOLUTION CURVES -2.0 Euler with h = 0.1 O switching -3.0 To specify initial values for solution curves, either: -3 -2 . enter (x,y) = (1 1 ) submit . or click on the graph: (0.39858, 0.54773) clear all curves * PLOT OTHER FUNCTIONS . PRESETSSlope and Direction Fields for Dif X + > C A homepages.bluffton.edu/~nesterd/apps/slopefields.html BLUFFTON UNIVERSITY > MATHEMATICS > DARRYL NESTER > JAVA[SCRIPT]: SLOPE AND DIRECTION FIELDS 3.0 One ODE System Polar ODE Polar system dy/dx = 2x 2.0 Variables: dy/dx v 1.0 0.0 -4 SXS 4 with 20 segments -3 sys 3 with 15 segments -1.0 PLOT NUMERICAL SOLUTION CURVES -2.0 Euler v with h = 0.1 0switching -3.0 To specify initial values for solution curves, either: -3 . enter (x,y) = ( 1 1 ) subreit . or click on the graph: (-2.02135, -1.8769) clear all curves . PLOT OTHER FUNCTIONS . PRESETS