Ah okay so in differential equations you usually want the top variable isolated. To do this, multiply by dt and 2u and you get

Now just integrate both sides. The integral of 2u with respect to u is u². The integral of (2t + sec²(t) with respect to t is t² + ∫sec²(t)dt. The last part is just tan(x) because d/dt(tan(t)) is sec²(t) so just integrating gets us back. Now we have

Where c and k are arbitrary constants. Subtracting c from k and you get

Where b is another constant. To find b, just plug in u(0) = -1 where u is -1 and t is 0. This becomes

tan(0) is 0 so b = 1. Take the plus or minus square root on both sides and you finally get

But Brainly didn't let me do but juat remember there is a plus or minus square root on the left.
Let's simplify step-by-step.<span><span><span><span>52x</span>+<span><span>43<span>y92</span></span>x</span></span>+<span><span>3<span>y15</span></span>y</span></span>+<span><span><span><span><span><span><span><span><span>8<span>x6</span></span>x</span><span>y23</span></span>x</span><span>y6</span></span>x</span><span>y32</span></span>x</span>y
</span></span><span>=<span><span><span><span>52x</span>+<span><span>43x</span><span>y92</span></span></span>+<span>3<span>y16</span></span></span>+<span><span>8<span>x10</span></span><span>y62
</span></span></span></span>Answer:<span>=<span><span><span><span><span>43x</span><span>y92</span></span>+<span><span>8<span>x10</span></span><span>y62</span></span></span>+<span>3<span>y16</span></span></span>+<span>52<span>x</span></span></span></span>
Answer:
9.68%
Step-by-step explanation:
cost of car = $35,000
down payment = $3,000
number of monthly instalments= $65
amount in every monthly instalment= $539.99
total monthly payment= 65×539.99= 35099.35
amount to be paid apart from downpayment= $35,000-3000= 32,000
therefore total interest paid in 65 months= 35099.35-3200= $3099.35
now, monthly interest rate 
⇒ r= 9.68%