1800-150-456-789
FlagBACK
Flag Integral Calculus> question-differential eqns...
question mark

If y is a function of x then (d2y/dx2) + y.(dy/dx) = 0. If x is a function of y , then what does the same differential equation become ?

Raghu Surat SVNIT , 12 Years ago
Grade Upto college level
anser 1 Answers
Sumit Majumdar

Last Activity: 10 Years ago

Solution:
Let us assume a solution of the original differential equation as:
y=e^{ax}
Hence the given differential equation becomes:
a^{2}e^{ax}+ae^{2ax}=0 \Rightarrow e^{ax}=-a \Rightarrow y=\frac{logy}{x} \Rightarrow y^{1/y}=e^{x}
Thanks & Regards
Sumit Majumdar,
askIITians Faculty
Ph.D,IIT Delhi

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on Integral Calculus

question mark
The area of a square field is 640000cm2.what is its area in hectares
Integral Calculus
1 Answer Available

Last Activity: 2 Year ago(s)

question mark
Please solve this integration. I am facing difficulty in it How to solve this. Please solve anyone. Humble request
Integral Calculus
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
Integral Calculus
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
how to solve this?this is interger type question .
Integral Calculus
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Integrate 0 to π/2 (x sin x cos x )/(a²cos²x + b²sin²x)²
Integral Calculus
1 Answer Available

Last Activity: 2 Year ago(s)