(x+1)dy/dx-y=e^3x(x+1)^2 #LinearEquation L613 @MathsPulseChinnaiahKalpana

#lineardifferentialequationoffirstorder Hello, Everyone! Here is a video of a differential equation problem, which is linear. Have a little patience and watch the video till end. My hearty thanks to all the subscribers, supporters, viewers and well-wishers❤ With Love, Chinnaiah Kalpana🍁 Note: Ordinary Differential Equation(ODE): A differential equation is said to be ordinary, if the derivatives in the equation have reference to only a single independent variable. Linear differential equations of first order(Linear differential equation): A differential equation of the form dy/dx + P y = Q ___(1) where, P and Q are constants or functions of X alone (i.e., not of y) is called a linear differential equation of the first order in the dependent variable y. Here, the dependent variable and its derivatives occur only in the first degree. Also, if Q(x)=0 for all x, then (1) is called Non-Homogeneous. Working rule for solving Linear differential equation: 1. Rewrite the given equation in standard form (i.e., dy/dx+Py=Q). 2. Identify P and Q (It may be either constants or functions of x alone). 3. Determine the integrating factor. i.e., I.F. = exp(∫Pdx) 4. Write the general solution as y(I.F)= ∫Q.(I.F)dx+c. exp(log f(x))=f(x), exp[nlogf(x)]=exp[log (f(x))^2]=[f(x)]^2, exp[-log f(x)] = exp[log (f(x))^-1] = [f(x)]^-1 = 1/f(x) For more such videos 👇    • Differential Equations- Engineering Mathem...   I'm on Instagram👇   / mathspulse_chinnaiahkalpana   Stay tuned to 'Maths Pulse'. Get rid of 'Maths Phobia'. Have a happy learning! #differentialequations #mathspulse #chinnaiahkalpana #engineeringmathematics #bscmaths #maths #math