Opplæring 6 steg, kjørt i rekkefølge i én økt. Hvert steg ble kjørt mot motoren, og utdataene nedenfor er det de ga.

Steg 1

DSolve[y'[x] ^ 2 - y'[x] * x + y[x] == 0, y[x], x]

Utdata

DSolve[Derivative[1][y][x]^2 - x*Derivative[1][y][x] + y[x] == 0, y[x], x]

Steg 2

DSolve[y'[x] ^ 2 - y'[x] * x + y[x] == 0, y, x, IncludeSingularSolutions -> True]

Utdata

DSolve[Derivative[1][y][x]^2 - x*Derivative[1][y][x] + y[x] == 0, y, x, IncludeSingularSolutions -> True]

Steg 3

Plot[Table[x c - c^2, {c, -10, 10}]//Evaluate, {x, -50, 50}, PlotRange -> All]

Utdata

-Graphics-

Steg 4

DSolve[y'[x] == y[x] (1 - y[x]), y[x], x]

Utdata

{{y[x] -> C[1]/E^Integrate[-1 + y[x], x]}}

Steg 5

DSolve[y'[x] == y[x] (1 - y[x]), y, x, IncludeSingularSolutions -> True]

Utdata

DSolve[Derivative[1][y][x] == (1 - y[x])*y[x], y, x, IncludeSingularSolutions -> True]

Steg 6

Plot[Table[(E^x/E^x + E^c), {c, -10, 10}]//Evaluate, {x, -20, 20}, PlotRange -> All]

Utdata

-Graphics-

D solve working with d solve singular solutions

Funksjoner brukt