- #1
koolrizi
- 21
- 0
Please let me know if this is true or not
Equation is linear if dependent variable is not in any other power than 1 e,g y
Equation is linear if dependent variable y is only being mulitiplied by constant.
Equation is linear if dependent variable y is not being multiplied by variable x
sin(y) and cos(y) make equation non linear.
Now i went to a site and they said following equation is linear
x^2y''+ xy' + (x^2-v^2)y = 0
y'' is being multiplied by x^2. and also y' being multiplied by x
Is there any easy way of steps to go thru to see if eq is linear or not besides the above mentioned...I am trying my best but i will be need lots of help with DE and I hope this forum will help me out.
Thnk you all
Equation is linear if dependent variable is not in any other power than 1 e,g y
Equation is linear if dependent variable y is only being mulitiplied by constant.
Equation is linear if dependent variable y is not being multiplied by variable x
sin(y) and cos(y) make equation non linear.
Now i went to a site and they said following equation is linear
x^2y''+ xy' + (x^2-v^2)y = 0
y'' is being multiplied by x^2. and also y' being multiplied by x
Is there any easy way of steps to go thru to see if eq is linear or not besides the above mentioned...I am trying my best but i will be need lots of help with DE and I hope this forum will help me out.
Thnk you all