| Question | Answer | % Correct |
|---|---|---|
| y'=3x²-2x+1, y(0)=1 | y=x³-x²+x+1 | 93%
|
| y'=2e^x, y(1)=2e | 2(e^x) | 52%
|
| y'=y, y(0)=5 | y=5(e^x) | 48%
|
| y'=2y, y(0)=1 | y=e^(2x) | 45%
|
| y'=y², y(0)=1 | y=1/(1-x) | 38%
|
| y'=2xy, y(0)=2 | y=2(e^x²) | 38%
|
| y'=-2y+(e^x)-1, y(0)=11/6 | y=(1/3)(e^x)+2e^(-2x)-1/2 | 31%
|
| y'=x+y, y(0)=1 | y=2(e^x)-x-1 | 31%
|
| y''-2y'+y=0, y(0)=4, y'(0)=11 | y=4(e^x)+7x(e^2x) | 31%
|
| y''+y=0, y(0)=3, y'(0)=2 | y=3cos(x)+2sin(x) | 28%
|
| y''-y=0, y(0)=2, y'(0)=4 | y=3(e^x)-(e^-x) | 28%
|
| y''-y=x, y(0)=7, y'(0)=2 | y=5(e^x)+2(e^-x)-x | 28%
|
| y''-2y'+y=e^x, y(0)=5, y'(0)=7 | y=5(e^x)+2x(e^x)+(x²/2)e^x | 28%
|
| y'=e^y, y(0)=1 | y=-ln(-x+(1/e)) | 28%
|
| y''-y=e^x, y(0)=3, y'(0)=1 | y=(7/4)e^x+(5/4)e^(-x)+(x/2)(e^x) | 24%
|