What is Differential Equation taught in Class 12 Maths?

0 1 View | Posted 7 months ago

  • 1 Answer

  • J

    Answered by

    Jaya Sinha

    7 months ago

    Class 12 Maths includes the chapter Differential Equations as a part of calculus unit. As per the formal NCER  Definition, A differential equation is an equation that contains one or more derivatives of a dependent variable with respect to one or more independent variables.

    For example:

    dydx=3x+2

    Here, the derivative dydx\frac {dy} {dx} represents the rate of change of yy with respect to xx, and the equation defines how this rate changes with xx.

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  a + 5 b  is collinear with c  

  a + 5 b = c           …(1)

b + 6 c is collinear with a  

⇒   b + 6 c = μ a               …(2)

From (1) and (2)

  b + 6 c = μ ( λ c 5 b )          

-> ( 1 + 5 μ ) b + ( 6 λ μ ) c = 0

? b and c  are non-collinear

-> 1 + 5m = 0 μ = 1 5  and 6 – lm = 0 Þ lm = 6

-> l = – 30

Now,

b = 6 c = 1 5 a

5 b + 3 0 c = a

a + 5 b + 3 0 c = 0 a + α b + β c = 0 ]

On comparing

α = 5, β = 30  α + β = 35

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