Question

the family of curve passing through (0,0) and satisfying the differential equation y2/y1=1

Answer 1

Answer:

The correct answer y = k(ex – 1)

Explanation:

(y2/y1) = 1

∴ (d/dx) (log y1) = c

∴ (logy1) = x + c

∴ y1 = ex+c

i.e. (dy/dx) ex+c = ex ∙ ec

Integrating

∴ y = ex ∙ ec + k

when x = 0, y = 0 ⇒ k = – ec

y = exec – ec = ec(ex – 1)

∴ y = k(ex – 1) ---- put ec = k

Answer 2

Step-by-step explanation:

Name of few blocks are given below. All these blocks further contain different shaped blocks. Put a (✓) against the block having desired shapes.