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Standard XII

Mathematics

Eccentricity of Hyperbola

find the orde...

Question

find the order of diffrential equation y= (k1+k2) tan (x+k3) - k4 e^x + k5 and k1, k2, k3, k4, k5 are arbitary constants

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Solution

Dear student

$Since there are 5 arbitrary constants in the differential equation y = (k_{1} + k_{2}) \tan (x + k_{3}) - k_{4} e^{x} + k_{5}, namely k_{1}, k_{2}, k_{3}, k_{4} and k_{5} . So order of the differential equation is 5 .$
Regards

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Similar questions

Five rods of same dimensions are arranged as shown in the figure. They have thermal conductivities $K_{1}, K_{2}, K_{3}, K_{4} a n d K_{5}$ . When points A and B are maintained at different temperatures, no heat flows through the central rod if

For these chemical equilibriums:

N_{2} + O_{2} ⇋ 2 N O, K_{1}

\frac{1}{2} N_{2} + \frac{1}{2} O_{2} ⇋ N O, K_{2}

2 N O ⇌ N_{2} + O_{2}; K_{3}

N O ⇌ \frac{1}{2} N_{2} + \frac{1}{2} O_{2}, K_{4}

K_{1} \times K_{3} = x; \sqrt{(K_{1})} \times K_{4} = y; \sqrt{(K_{3})} \times K_{2} = z

What will be the value of

x y z

N_{2} + O_{2} ⇌ 2 N O, K_{1}

;

(\frac{1}{2}) N_{2} + (\frac{1}{2}) O_{2} ⇌ N O, K_{2}

;

2 N O ⇌ N_{2} + O_{2}; K_{3}

;

N O ⇌ (\frac{1}{2}) N_{2} + (\frac{1}{2}) O_{2}; K_{4}

Correct relation(s) between

K_{1}, K_{2}, K_{3}

, and

K_{4}

is/are :

Q. For the reaction

2 P_{1} Q_{3} R + S

;

K_{1}, K_{2}, K_{3}

and

K_{4}

are

4 \times 10^{3}, 2 \times 10^{4}, 16 \times 10^{2}

and

40

respectively. The overall equilibrium constant is:

N_{2} O_{2} ⇌ 2 N O, K_{1}; (\frac{1}{2}) N_{2} + (\frac{1}{2}) O_{2} ⇌ N O, K_{2}

;

2 N O ⇌ N_{2} + O_{2}, K_{3}; N O ⇌ (\frac{1}{2}) N_{2} + (\frac{1}{2}) O_{2}, K_{4}

;
Correct relation (s) between

K_{1}, K_{2}, K_{3}

and

K_{4}

is/are:

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find the order of diffrential equation y= (k1+k2) tan (x+k3) - k4 e^x + k5 and k1, k2, k3, k4, k5 are arbitary constants

Dear student Since there are 5 arbitrary constants in the differential equationy=k1+k2tanx+k3-k4ex+k5, namelyk1,k2,k3,k4 and k5. So order of the differential equation is 5. Regards

Dear student

$Since there are 5 arbitrary constants in the differential equation y = (k_{1} + k_{2}) \tan (x + k_{3}) - k_{4} e^{x} + k_{5}, namely k_{1}, k_{2}, k_{3}, k_{4} and k_{5} . So order of the differential equation is 5 .$
Regards