Find the initial value problem
dy/dx=5x^-14/15
I got this answer wrong on my test need worked showed out step by step do not understand this to much

Question

Find the initial value problem 
dy/dx=5x^-14/15
I got this answer wrong on my test need worked showed out step by step do not understand this to much

paxpolaris · Answer

$$\Large {dy \over dx}=5x^{(-14/15)}$$is this what you mean????

anonymous · Answer

yes

paxpolaris · Answer

don't you also need a 2nd piece of information ... y(a)=b

or are you just having trouble with the integration?

anonymous · Answer

yes missing a piece sorry 
y(-1)=-3

paxpolaris · Answer

$$\Large y=5\int\limits x^{(-14/15)}dx$$

anonymous · Answer

yes i get that far but after that i am completly lost

paxpolaris · Answer

$$\large -{14 \over 15} +1 = {1\over15}$$

anonymous · Answer

ohh ok i see that part

paxpolaris · Answer

$$\Large y= 5\cdot {x^{(1/15)}\over 1/15}+C$$

paxpolaris · Answer

$$\LARGE =75\cdot \sqrt[15]{x}+C$$

anonymous · Answer

y=75x^1/15+C

paxpolaris · Answer

yes ... now you just have to plug in x=-1 , y=-3 ... to solve for C

anonymous · Answer

oh okay i see now i was not understanding the part you just worked out but i understand now

anonymous · Answer

the final answer is 75x^1/15+72 ???

paxpolaris · Answer

$$\Huge \checkmark$$

y(0)=72

anonymous · Answer

ok thanks for your help