- Part A Is Done All I Need Is Part B 1 (260.55 KiB) Viewed 31 times
Part A is done, all I need is part B
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Part A is done, all I need is part B
Part A is done, all I need is part B
a) What can you say about the graph of a solution of the equation y′=16xy3 when x is close to 0 ? What if x is large? is nearly vertical v. (In both cases, we assume reasonable values for y. ) b) Verify that all members of the family y=4(c−x2)−1/2 are solutions of the differential equation y′=16xy3. We substitute the values of y and y′ and test the solution to see if the left hand side (LHS) is equal to the right hand side (RHS) y=4(c−x2)−1/2⇒y′=()(c−x2)−3/2 RHS=16xy3=16x[4(c−x2)−1/2]3⎠⎞(c−x2)−3/2=() LHS =y′=(c)
a) What can you say about the graph of a solution of the equation y′=16xy3 when x is close to 0 ? What if x is large? is nearly vertical v. (In both cases, we assume reasonable values for y. ) b) Verify that all members of the family y=4(c−x2)−1/2 are solutions of the differential equation y′=16xy3. We substitute the values of y and y′ and test the solution to see if the left hand side (LHS) is equal to the right hand side (RHS) y=4(c−x2)−1/2⇒y′=()(c−x2)−3/2 RHS=16xy3=16x[4(c−x2)−1/2]3⎠⎞(c−x2)−3/2=() LHS =y′=(c)
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