Differential Equation, Mathematics

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#i hve two qestion on Differential Equation i need solve it..

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Vertical tangent for parametric equations, Vertical Tangent for Parametric ...

Vertical Tangent for Parametric Equations Vertical tangents will take place where the derivative is not defined and thus we'll get vertical tangents at values of t for that we

Two circles touch internally, Two circles touch internally at a point P and...

Two circles touch internally at a point P and from a point T on the common tangent at P, tangent segments TQ and TR are drawn to the two circles. Prove that TQ = TR. Given:

Show that af+bd+ce=ae+bf+cd= 1/2 , In figure, the incircle of triangle ABC...

In figure, the incircle of triangle ABC touches the sides BC, CA, and AB at D, E, and F respectively. Show that AF+BD+CE=AE+BF+CD= 1/2   (perimeter of triangle ABC), Ans:

Monotonic, Monotonic, Upper bound and lower bound Given any sequence {a...

Monotonic, Upper bound and lower bound Given any sequence {a n } we have the following terminology: 1.   We call or denote the sequence increasing if a n n+1 for every n.

Prove that 7cot - 3cosec = 3, If 7 cosec?-3cot? = 7, prove that 7cot? - 3co...

If 7 cosec?-3cot? = 7, prove that 7cot? - 3cosec? = 3. Ans:    7 Cosec?-2Cot?=7 P.T 7Cot? - 3 Cosec?=3 7 Cosec?-3Cot?=7 ⇒7Cosec?-7=3Cot? ⇒7(Cosec?-1)=3Cot? ⇒7(C

Calculate the time average of kinetic energy of the planet, (1) If the coef...

(1) If the coefficient of friction between a box and the bed of a truck is m , What is the maximum acceleration with which the truck can climb a hill, making an angle q with the ho

Tangent, construction of tangent when center not known

construction of tangent when center not known

Integration, It is known that a radioactive material decays at a rate propo...

It is known that a radioactive material decays at a rate proportional to the amount present.If after a period of 12 years,a 2g piece of radium weighs 1.99g.How long will it be befo

Prove that ar= 3/7 ac of parallelogram , ABCD is a parallelogram in the giv...

ABCD is a parallelogram in the given figure, AB is divided at P and CD and Q so that AP:PB=3:2 and CQ:QD=4:1. If PQ meets AC at R, prove that AR= 3/7 AC. Ans:    ΔAPR ∼ Δ

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