Using modified Euler's method find y at x=0.1 given y'= 3x + y/2 good example-4

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In this video explaining modified Euler' s method. this is numerical method and iterative method. using initial values and get approximate solution. This is very simple and easy method.
In biology and ecology the Modified Euler's method can be used to model the population dynamics of different species. By using the method to solve a system of differential equations that describe the interactions between different populations, researchers can gain insights into how these populations may evolve over time.

#modifiedmethod #eulersmethod

LAPLACE TRANSFORM : 18MAT31

Fourier Transforms,Z-transform : 18MAT31 & 17MAT31

Fourier Series: 18MAT31 & 17MAT31

Calculus of Variation & Numerical Methods 18MAT31

Numerical Methods ODE's: 18MAT31 & 17MAT41

COMPLEX NUMBER: 18MATDIP31

Differential Calculus:18MATDIP31

Ordinary differential equation 18MATDIP31 & 17MATDIP31

Integral Calculus 18MATDIP31 & 17MATDIP31

Vector differentiation 18MATDIP31 & 17MATDIP31

Differential Calculus & Partial Differential 18MATDIP31 & 17MATDIP31

Joint Probability & Sampling Theory: 18MAT41 & 17MAT41

Probability Distributions: 18MAT41 & 17MAT41

Calculus of Complex Functions: 18MAT41 & 17MAT41

Curve fitting & Statistical Method 18MAT41 17MAT31

18MATDIP41 Linear Algebra

18MATDIP41 Numerical Methods

18MATDIP41 Higher order ODEs

18MATDIP41 Partial Differential Equations
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Nice video thank you sir...very helpfull

lbb
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Awesome sir 👏👏gud explanation sir, keep rocking 😊

AmmuAmmu-ypip
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How to solve this type of question:
Solve differential equations using euler method for 1<= x <= 2 with a step size of h=0.1: dy/dx = 3(x^2)y such that y=1 at x=1

PetBuddies
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Sir plz make a on this prbm only.. but on taylors series formula.... it had been asked in external exam

lbb
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Hello i really found ur video useful can you just tell me which one do we call iteration
If we have y^(1) 1 so here the up which we have that is iteration or down which we mention in y that is iteration

nishudave
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Is there available proof of 👇

When f(x, y) is linear in x and y then the modified Euler method is equivalent to Taylor series method of order 2

hinarehman
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sif if they not give h value how to find

Amruths
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how to know h if it's not mentioned in question

sahilbasha
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Why you are giving direct answer explain the calculation

MdAathiq