Draw solution curves by drawing isoclines of the following equations.
dy/dx = y, dy/dx = x^2 + y^2

Question

Draw solution curves by drawing isoclines of the following equations.
dy/dx = y, dy/dx = x^2 + y^2

amistre64 · Answer

is that the same thing as drawing a vector field?

anonymous · Answer

yes

amistre64 · Answer

seems tedious ...

amistre64 · Answer

the slope at any given x value is equal to y ... 

the other one is just as simple ... the slope at 0,0 = 0;  the slope at (5,2) = 29;  etc ...

anonymous · Answer

in this equation x and y must assume? in order to find the value of c?

amistre64 · Answer

x and y values are derived from a given point in the xy plane

amistre64 · Answer

the slope is just defined at that point as:  x^2 + y^2

anonymous · Answer

ok.thanks for your help

amistre64 · Answer

y' = y ... at any given point (x,y), the slope is equal to y

y' = x^2 + y^2 ... at any given point (x,y), the slope is equal to, well, x^2 + y^2 :)

anonymous · Answer

its origin is 0,0 .right?

amistre64 · Answer

the origin is (0,0) yes

anonymous · Answer

okay. thank you very much :)

amistre64 · Answer

when picking a solution curve, if we have an initial value, we start with the initial value :)

amistre64 · Answer

good luck