What is the answer to D(r)=(27(r)+13)/(26) ?

The answer to D(r)=(27(r)+13)/(26) is r=(13)/(26D-27);\quad D\ne 27/26

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D(r)=(27(r)+13)/(26)

D (r) = \frac{27 ( r ) + 13}{26}

r = \frac{13}{26 D - 27}; D \neq = \frac{27}{26}

Solution steps

D (r) = \frac{27 ( r ) + 13}{26}

Multiply both sides by

26

26 Dr = 27 r + 13

Move

27 r

to the left side

26 Dr - 27 r = 13

Factor

26 Dr - 27 r : r (26 D - 27)

r (26 D - 27) = 13

Divide both sides by

26 D - 27; D \neq = \frac{27}{26}

r = \frac{13}{26 D - 27}; D \neq = \frac{27}{26}

y^{^{''}} + 16 y = 4 (u \frac{7}{4} π)

y^{^{'''}} - y^{^{''}} - 4 y^{^{'}} + 4 y = - 20 t^{2} + 52 t - 6

y^{^{'''}} - 2 y^{^{''}} + 5 y^{^{'}} = - 24 e^{3 x}

y^{^{''}} + 4 y = 4 sec^{3} (2 t)

y^{^{''}} - 2 y^{^{'}} - 24 y = 6 e^{6 x}

What is the answer to D(r)=(27(r)+13)/(26) ?
The answer to D(r)=(27(r)+13)/(26) is r=(13)/(26D-27);\quad D\ne 27/26