What is the solution for (5t+6y+1)dt-dy=0 ?

The solution for (5t+6y+1)dt-dy=0 is y=-(5t)/6-11/36+c_{1}e^{6t}

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(5t+6y+1)dt-dy=0

(5 t + 6 y + 1) d t - d y = 0

y = - \frac{5 t}{6} - \frac{11}{36} + c_{1} e^{6 t}

Solution steps

(5 t + 6 y + 1) d t - d y = 0

Solve linear ODE:

y = - \frac{5 t}{6} - \frac{11}{36} + c_{1} e^{6 t}

y = - \frac{5 t}{6} - \frac{11}{36} + c_{1} e^{6 t}

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What is the solution for (5t+6y+1)dt-dy=0 ?
The solution for (5t+6y+1)dt-dy=0 is y=-(5t)/6-11/36+c_{1}e^{6t}